Barry C. Arnold

Barry C. Arnold's AcademicInfluence.com Rankings

Barry C. Arnold

Mathematics

#5467

World Rank

#7690

Historical Rank

#1792

USA Rank

Statistics

#379

World Rank

#447

Historical Rank

#125

USA Rank

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Mathematics

Barry C. Arnold's Degrees

PhD Statistics University of California, Berkeley
Masters Statistics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Barry C. Arnold's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Inequalities: Theory of Majorization and Its Applications (1980) (6661)
A first course in order statistics (1994) (1432)
Records: Arnold/Records (1998) (457)
Conditional specification of statistical models (1999) (294)
Skewed multivariate models related to hidden truncation and/or selective reporting (2002) (277)
Majorization and the Lorenz Order: A Brief Introduction (1987) (270)
Relations, Bounds and Approximations for Order Statistics (1989) (237)
The nontruncated marginal of a truncated bivariate normal distribution (1993) (182)
Elliptical Lorenz curves (1989) (176)
Compatible Conditional Distributions (1989) (164)
Measuring Skewness with Respect to the Mode (1995) (159)
Bayesian inference for pareto populations (1983) (157)
Bivariate Distributions with Exponential Conditionals (1988) (156)
Bayesian Estimation and Prediction for Pareto Data (1989) (143)
The skew-Cauchy distribution (2000) (137)
Conditionally Specified Distributions: An Introduction (with comments and a rejoinder by the authors) (2001) (117)
Conditionally Specified Distributions (1992) (104)
A First Course in Order Statistics (Classics in Applied Mathematics) (2008) (103)
Bivariate Distributions with Conditionals in Prescribed Exponential Families (1991) (101)
Bounds on Expectations of Linear Systematic Statistics Based on Dependent Samples (1979) (91)
Conditionally specified distributions: an introduction (2001) (89)
Estimation of the Number of Classes in a Population (2007) (72)
Pareto and Generalized Pareto Distributions (2008) (71)
The Asymptotic Distributions of Sums of Records (1999) (63)
PSEUDOLIKELIHOOD ESTIMATION : SOME EXAMPLES (2016) (63)
Linnik distributions and processes (1993) (61)
Joint Confidence Sets for the Mean and Variance of a Normal Distribution (1998) (59)
p-Norm bounds on the expectation of the maximum of a possibly dependent sample (1985) (57)
A general near-exact distribution theory for the most common likelihood ratio test statistics used in Multivariate Analysis (2011) (55)
On multivariate mean remaining life functions (1988) (53)
On the residual lifelengths of the remaining components in an n−k+1 out of n system (2008) (52)
Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics (2018) (51)
Bivariate distributions with pareto conditionals (1987) (48)
Characterizations of the skew-normal and generalized chi distributions (2004) (44)
Conditionally specified multivariate skewed distributions (2002) (43)
Parameter Estimation for a Multivariate Exponential Distribution (1968) (43)
Majorization: Here, There and Everywhere (2007) (42)
Flexible bivariate beta distributions (2011) (40)
On distributions whose component ratios are Cauchy (1992) (37)
Some Characterizations of the Exponential Distribution by Geometric Compounding (1973) (36)
Technical Note - When Does the βth Percentile Residual Life Function Determine the Distribution? (1983) (36)
On multiple constraint skewed models (2009) (35)
Inadmissibility of the Usual Scale Estimate for a Shifted Exponential Distribution (1970) (34)
Generating Ordered Families of Lorenz Curves by Strongly Unimodal Distributions (1987) (33)
Autoregressive logistic processes (1989) (31)
BAYESIAN ANALYSIS FOR CLASSICAL DISTRIBUTIONS USING CONDITIONALLY SPECIFIED PRIORS (1998) (31)
Multivariate exponential distributions based on hierarchical successive damage (1975) (31)
The distribution of the product of powers of independent uniform random variables - A simple but useful tool to address and better understand the structure of some distributions (2013) (31)
Pareto processes (1988) (30)
Exact and near compatibility of discrete conditional distributions (2002) (30)
Multivariate distributions with generalized Pareto conditionals (1993) (29)
Monitoring Process Variance Using an ARL‐unbiased EWMA‐p Control Chart (2016) (27)
Two characterizations of the geometric distribution (1980) (27)
Advances in Mathematical and Statistical Modeling (2008) (27)
Flexible univariate and multivariate models based on hidden truncation (2009) (25)
Some Properties of the Arcsine Distribution (1980) (25)
Families of Multivariate Distributions Involving the Rosenblatt Construction (2006) (25)
Compatibility of partial or complete conditional probability specifications (2004) (25)
Exponential characterizations motivated by the structure of order statistics in samples of size two (2013) (25)
Near-exact Distributions for Certain Likelihood Ratio Test Statistics (2010) (25)
On the Markov property of order statistics (1984) (25)
The Tallest Man in the World (1996) (24)
Some Skewed Multivariate Distributions (2000) (24)
On multivariate order statistics. Application to ranked set sampling (2009) (23)
Multivariate order statistics via multivariate concomitants (2009) (22)
Conditional Survival Models (2004) (22)
The Lorenz curve: Evergreen after 100 years (2008) (22)
Identifiability for dependent multiple decrement/competing risk models (1983) (21)
Recent advances in the analyses of directional data in ecological and environmental sciences (2006) (21)
Lorenz ordering of order statistics (1991) (21)
Skewness and kurtosis orderings: an introduction (1992) (21)
On some properties of bivariate weighted distributions (1991) (20)
Strong ergodicity for continuous-time Markov chains (1978) (20)
Families of Multivariate Distributions Involving “Triangular” Transformations (2009) (20)
Specification of distributions by combinations of marginal and conditional distributions (1996) (19)
Distribution-Free Bounds on the Mean of the Maximum of a Dependent Sample (1980) (19)
The rating of players in racquetball tournaments (1987) (19)
Multivariate distributions defined in terms of contours (2008) (18)
Parameter estimation under generalized ranked set sampling (1999) (18)
A doubly skewed normal distribution (2015) (17)
A Note on Multivariate Distributions with Specified Marginals (1967) (17)
Some characterizations involving uniform and powers of uniform random variables (2008) (17)
A new approach for monitoring process variance (2016) (17)
Conjugate Exponential Family Priors For Exponential Family Likelihoods (1993) (17)
Distributions most nearly compatible with given families of conditional distributions (1998) (16)
Bounds on the expected maximum (1988) (16)
Univariate and multivariate Pareto models (2014) (16)
A characterization of geometric distributions by distributional properties of order statistics (1976) (16)
Bounds for deviations between sample and population statistics (1974) (15)
Multiple modes in densities with normal conditionals (2000) (15)
Lorenz ordering of means and medians (1986) (15)
time variation. (2014) (14)
The Admissibility of a Preliminary Test Estimator When the Loss incorporates a Complexity Cost (1979) (14)
A goodness of fit test for the Pareto distribution in the presence of Type II censoring, based on the cumulative hazard function (2010) (14)
Doubly Stochastic Matrices (2010) (14)
Recurrence relations between expectations of functions of order statistics (1977) (14)
On Zenga and Bonferroni curves (2015) (14)
Elliptical Models Subject to Hidden Truncation or Selective Sampling (2004) (14)
Inverse circular-circular regression (2013) (14)
QUANTIFICATION OF INCOMPATIBILITY OF CONDITIONAL AND MARGINAL INFORMATION (2001) (13)
Inequality measures for multivariate distributions (2005) (13)
Characterizations involving conditional specification (1997) (13)
Characterization of Distributions by Sets of Moments of Order Statistics (1975) (13)
Conditionally specified models: Structure and inference (1993) (13)
On uniform marginal representation of contingency tables (1994) (13)
Probability distributions and statistical inference for axial data (2006) (13)
A flexible family of multivariate Pareto distributions (1990) (13)
A characterization of the pareto process among stationary stochastic processes of the form Xn = c min(Xn−1, Yn) (1989) (13)
Conditional characterizations of multivariate distributions (1988) (13)
Maximal Deviation between Sample and Population Means in Finite Populations (1981) (12)
A MULTIVARIATE VERSION OF STEIN'S IDENTITY WITH APPLICATIONS TO MOMENT CALCULATIONS AND ESTIMATION OF CONDITIONALLY SPECIFIED DISTRIBUTIONS (2001) (12)
A Simple Approach for Monitoring Business Service Time Variation (2014) (12)
Hypothesis Testing Incorporating a Preliminary Test of Significance (1970) (12)
The Lorenz Order and the Effects of Taxation Policies (1990) (12)
A conditional characterization of the multivariate normal distribution (1994) (12)
Lorenz ordering of exponential order statistics (1991) (11)
The use of conditionally conjugate priors in the study of ratios of Gamma scale parameters (1998) (10)
Distributions with Generalized Skewed Conditionals and Mixtures of Such Distributions (2007) (10)
Some alternative bivariate gumbel models (1998) (10)
On the Amato inequality index (2012) (10)
SOME CHARACTERIZATIONS OF THE CAUCHY DISTRIBUTION (1979) (10)
Priors with Convenient Posteriors (1996) (9)
Conditionally specified distributions: An introduction - Comments and rejoinders (2001) (9)
Conditional Proportional Hazards Models (1996) (9)
Schwarz, Regression, and Extreme Deviance (1974) (9)
Multivariate normality via conditional specification (1994) (9)
Finite Form Representations for Meijer G and Fox H Functions (2019) (8)
Distributions with logistic marginals and/or conditionals (1996) (8)
Preservation and attenuation of inequality as measured by the Lorenz order (1991) (8)
A multivariate circular distribution with applications to the protein structure prediction problem (2016) (8)
Bivariate Distributions with Conditionals in Prescribed Exponential (1991) (8)
The waiting time until first duplication (1972) (8)
The exact and near-exact distributions of the main likelihood ratio test statistics used in the complex multivariate normal setting (2015) (7)
Estimation of a distribution function under generalized ranked set sampling (1999) (7)
On the Exact and Near-Exact Distributions of the Product of Generalized Gamma Random Variables and the Generalized Variance (2014) (7)
General conditional specification models (1995) (7)
Dependence in conditionally specified distributions (1990) (7)
4 Lorenz ordering of order statistics and record values (1998) (7)
Independence of squared order statistics (1973) (6)
A logistic process constructed using geometric minimization (1988) (6)
MODELING THE LIFETIME OF LONGITUDINAL ELEMENTS (2001) (6)
Variance bounds using a theorem of Polya (1988) (6)
On limit laws for sums of Pfeifer records (2007) (6)
On excess life in certain renewal processes (1981) (6)
Distributions that are both log-symmetric and R-symmetric (2008) (6)
Some alternative bivariate Kumaraswamy models (2017) (6)
Recurrence Relations and Identities for Order Statistics (1989) (6)
Logistic processes involving Markovian minimization (1993) (6)
The multivariate alpha-power model (2013) (6)
On normal characterizations by the distribution of linear forms, assuming finite variance (1978) (5)
Logistic and semi-logistic processes (1992) (5)
Statistical inference for distributions with one Poisson conditional (2020) (5)
On the inconsistency of Bayesian non-parametric estimators in competing risks/multiple decrement models (1984) (5)
Bivariate distributions characterized by one family of conditionals and conditional percentile or mode functions (2008) (5)
Bounds on deviations of estimates arising in finite population regression models (1978) (5)
On solutions to min $$(X,{\text{ Y}})\mathop = \limits^d aX$$ and min $$(X,{\text{ Y}})\mathop = \limits^d aX\mathop = \limits^d bY$$ (1976) (5)
The power piecewise exponential model (2018) (5)
The Conditional Distribution of X given X=Y can Be Almost Anything! (2003) (5)
Some Examples of Minimum Variance Unbiased Estimates (1972) (5)
Strong ergodicity for continuous-time, non-homogeneous Markov chains (1982) (5)
The generalized Cantor distribution and its corresponding inverse distribution (2011) (5)
A Simple Approach for Monitoring Process Mean and Variance Simultaneously (2015) (5)
Analytic Expressions for Multivariate Lorenz Surfaces (2018) (5)
Multivariate inverse Gaussian and skew-normal densities (2012) (5)
Modeling the fatigue life of longitudinal elements (1996) (5)
Selected Tables in Mathematical Statistics (Vol. 9). (1977) (5)
Multiple constraint and truncated skew models (2014) (5)
Limit laws in the best of 2n ‐ 1 bernoulli trials (1984) (4)
Instances of the product of independent beta random variables and of the Meijer G and Fox H functions with finite representations (2012) (4)
Variations on the classical multivariate normal theme (2007) (4)
Adversarial and Amiable Inference in Medical Diagnosis, Reliability and Survival Analysis (2016) (4)
A modification of a result due to Moran (1968) (4)
Bounds on Expectations of Order Statistics (1989) (4)
Some Elementary Variations of the Lyapunov Inequality (1978) (4)
Preservation of failure rate function shape in weighted distributions (2016) (4)
On Parameter Dependence and Related Topics: The Impact of Jerzy Filus from Genesis to Recent Developments (2018) (3)
Centered distributions with cauchy conditionals (1991) (3)
Hidden Truncation and Additive Components : Two Alternative Skewing Paradigms (2009) (3)
New moment-identities based on the integrated survival function (1989) (3)
Skewing Around: Relationships Among Classes of Skewed Distributions (2007) (3)
Schur-Convex Functions (2010) (3)
Alternative constructions of skewed multivariate distributions (2004) (3)
The Pareto IV power series cure rate model with applications (2017) (3)
Erratum to: Additional Statistical Applications (2011) (3)
Conditional specification of statistical models: Classical models, new developments and challenges (2021) (3)
BEADS, BAGS, BAYES, AND THE FUNDAMENTAL PROBLEM OF SAMPLING THEORY (2001) (3)
The Distribution of Order Statistics (1989) (3)
Enrique Castillo’s Contributions to Conditional Specification (2008) (3)
Instances of the Meijer G and Fox H functions and of the distribution of the product of independent beta random variables with finite representations (2012) (2)
A generalized urn scheme for simple learning with a continuum of responses (1967) (2)
Conditionally Specified Models (2006) (2)
Generalized order statistic processes and Pfeifer records (2012) (2)
Simple and Accurate Approximations for Computing Covariance Matrices of Gamma and Weibull Order Statistics (2009) (2)
Construction of bivariate and multivariate weighted distributions via conditioning (2017) (2)
Response distribution for the continuous-time N-element pattern model (1967) (2)
The Distribution of the Maximal Time Till Departure from a State in a Markov Chain (1984) (2)
Distributions with conditionals in truncated weighted families (2005) (2)
Alternative approaches to conditional specification of bivariate distributions (2016) (2)
Univariate and Bivariate Models Related to the Generalized Epsilon-Skew-Cauchy Distribution (2019) (2)
Properties and Applications of a New Family of Skew Distributions (2021) (2)
A new phase II EWMA dispersion control chart (2021) (2)
An Alternative Derivation of a Result Due to Srivastava and Bancroft (1970) (2)
On bivariate pseudo-exponential distributions (2019) (2)
Goodness-of-Fit Tests Based on Record Data and Generalized Ranked Set Data (2002) (1)
Some Bivariate and Multivariate Models Involving Independent Gamma Distributed Components (2021) (1)
Approximations to Moments of Order Statistics (1989) (1)
Models for Axial Data (2011) (1)
Correction to "Bounds on Expectations of Linear Systematic Statistics Based on Dependent Samples" (1980) (1)
Bivariate, multivariate, and matrix variate normal characterizations: A brief survey II (2017) (1)
On orthogonality of (X+Y) and X/(X+Y) rather than independence (2013) (1)
A test for equality of variances with censored samples (2015) (1)
A parametric regression model for possibly censored lifetime data (2000) (1)
Variance estimation with diffuse prior information (1997) (1)
The Lorenz Order in the Space of Distribution Functions (1987) (1)
Families of Lorenz Curves (2018) (1)
Flexible Bivariate Circular Models (2009) (1)
On the Value of Imprecise Prior Information (2005) (1)
9. Record Values (2008) (1)
Other conditionally specified families (1992) (1)
Response distributions for a generalized urn scheme under noncontingent reinforcement (1973) (1)
Conditionals in Exponential Families (1992) (1)
Significant category clustering in free recall (1975) (1)
7. Order Statistics in Statistical Inference (2008) (1)
Corrigenda: Inadmissibility of the Usual Scale Estimate for a Shifted Exponential Distribution. (1973) (1)
PARAMETRIC INFERENCE WITH GENERALIZED RANKED SET DATA (2002) (1)
Inequality and Majorization : Robin Hood in Unexpected Places (2011) (1)
Design of Sample Surveys across Time (2002) (1)
Preservation of distributional properties of component lifetimes by system lifetimes (2022) (1)
Multivariate Survival Models Incorporating Hidden Truncation (2002) (1)
Majorization in IRn (1987) (1)
Bayesian inference for pseudo-Poisson data (2022) (1)
A Note on the Birnbaum-Saunders Conditionals Model (2021) (1)
Multivariate Distributions with Gaussian Conditional Structure (2020) (0)
Lorenz order with common finite support (2017) (0)
Preface for the Special Issue on Distribution Theory, Estimation, and Inference (2015) (0)
Variations on a Bhattacharyya Theme (1999) (0)
Order Statistics from a Sample Containing a Single Outlier (1989) (0)
On classical and Bayesian inference for bivariate Poisson conditionals distributions: Theory, methods and applications (2023) (0)
8. Asymptotic Theory (2008) (0)
STRONG ERGODICITY FOR CONTINUOUS-TIME, (1982) (0)
Finite Form Representations for Extended Instances of Meijer G and Fox H Functions (2019) (0)
Sequential Sampling Estimation for Finite Populations of N = nr Objects (1990) (0)
and/or Conditionals (2016) (0)
Modelling gas release event behaviour in hazardous waste tanks (1996) (0)
6. Characterizations Using Order Statistics (2008) (0)
Commentary on “From unidimensional to multidimensional inequality: a review” (2020) (0)
Moment Relations, Bounds and Approximations (2011) (0)
Multivariate and Stochastic Majorization (1987) (0)
Alternative approaches to conditional specification of bivariate distributions (2016) (0)
Matrix Factorizations, Compounds, Direct Products, and M-Matrices (2010) (0)
Preservation of failure rate function shape in weighted distributions (2015) (0)
Marginally and Conditionally Specified Multivariate Survival Models: A Survey (2020) (0)
Bayesian inference for two nonstandard flexible families of bivariate Kumaraswamy models: theory and applications (2022) (0)
Characterizations involving conditional moments (1992) (0)
Multiple Products of Independent Beta Random Variables with Finite Form Representations for Their Distributions (2019) (0)
3. Discrete Order Statistics (2008) (0)
Estimation in Conditionally Specified Models (2004) (0)
Equivalent Conditions for Majorization (2010) (0)
On Zenga and Bonferroni curves (2014) (0)
On a general class of gamma based copulas (2021) (0)
Bias of the Sample Lorenz Curve (2015) (0)
Random and Point Process Record Models (2011) (0)
All Conditional Distributions for Y Given X that are Compatible with a Given Conditional Distribution for X Given Y (2020) (0)
AN EXPONENTIAL CHARACTERIZATION AND RELATED CONJECTURES (2020) (0)
New efficient estimators for the Weibull distribution (2023) (0)
Extremal Representations of Matrix Functions (2010) (0)
Back to Bayesics (2003) (0)
Inference for Pareto distributions (2015) (0)
Improper and Nonstandard Models (2004) (0)
Conditional Specification Versus Simultaneous Equation Models (2004) (0)
Bivariate Distributions Compatible or Nearly Compatible with Given Conditional Information (2000) (0)
Orthogonal Spacings (2015) (0)
MathematicaⓇ, Maxima, and R Packages to Implement the Likelihood Ratio Tests and Compute the Distributions in the Previous Chapter (2019) (0)
General Record Models (2011) (0)
Distributions with normal conditionals (1992) (0)
Rearrangements and Majorization (2010) (0)
Commentary on “From unidimensional to multidimensional inequality: a review” (2020) (0)
4. Order Statistics from Some Specific Distributions (2008) (0)
Approximate Finite Forms for the Cases Not Covered by the Finite Representation Approach (2019) (0)
Probabilistic, Statistical, and Other Applications (2010) (0)
Basic Distributional Results (2011) (0)
Setting the Scene (2019) (0)
Castillo-Galambos Functional Equation (2006) (0)
Marginal and Conditional Specification in General (2004) (0)
Characterization of the Geometric Distribution Via Linear Combinations of Observations and of Records (2021) (0)
Multivariate Majorization and Multivariate Lorenz Ordering (2018) (0)
Editorial (2013) (0)
Bivariate Proportional Hazard Models: Structure and Inference (2022) (0)
Inequality Analysis in Families of Income Distributions (2018) (0)
Lorenz order with common finite support (2016) (0)
Procrustean Strategies for Incompatible Conditional and Marginal Information (2005) (0)
Orderings Extending Majorization (2010) (0)
Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics (2019) (0)
1. Introduction and Preview (2008) (0)
Convex Functions and Some Classical Inequalities (2010) (0)
Transformations and Their Effects (1987) (0)
Univariate and multivariate Pareto models (2014) (0)
Bivariate Distributions, Specification of (2006) (0)
Characterizations of Multivariate Distributions Involoving Conditional Specification and/or Hidden Truncation (2005) (0)
Power series with i.i.d. coefficients (2013) (0)
Obrechkoff's Distribution (2006) (0)
Parameter estimation in conditionally specified models (1992) (0)
The Meijer G and Fox H Functions (2019) (0)
Some limiting distributions associated with sequences of multinomial trials (1983) (0)
Bayesian Analysis Using Conditionally Specified Models (2004) (0)
Additional Statistical Applications (2010) (0)
Models for recurrent gas release event behavior in hazardous waste tanks (1994) (0)
Further Examples Related to the Identical Distribution of and (2020) (0)
Where's the lack of memory? (1994) (0)
Multiple and Non-linear Constraint Models (2010) (0)
Exact and Near Compatibility in Distributions with Finite Support Sets (2004) (0)
Bivariate distributions with equi-dispersed normal conditionals and related models (2022) (0)
Comments on: Progressive censoring methodology: an appraisal (2007) (0)
Conditional Specification: Concepts and Theorems (2004) (0)
Majorization in $\mathbb {R}_n^+$ (2018) (0)
On Segregation: Ordering and Measuring (2014) (0)
Title : Birthdays, Coupons, Hat-checks and Schur (2011) (0)
PRIOR ELICITATION FOR A BINOMIAL PROPORTION (2009) (0)
Two modifications of Goodman’s technique for improving estimates (1978) (0)
Applications to Modeling Bivariate Extremes (2004) (0)
Preservation and Generation of Majorization (2010) (0)
Pseudo-Poisson Distributions with Concomitant Variables (2023) (0)
The exact and near-exact distributions of the main likelihood ratio test statistics used in the complex multivariate normal setting (2014) (0)
Some Related Orderings (1987) (0)
Bounds on Distributions Involving Partial Marginal and Conditional Information: The Consequences of Incomplete Prior Specification (2014) (0)
Higher Dimensional Problems (2011) (0)
Nonparametric Statistics: Records (2001) (0)

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What Schools Are Affiliated With Barry C. Arnold?

Barry C. Arnold is affiliated with the following schools:

University of California, Berkeley
Iowa State University
University of Concepción
McMaster University
University of California, Riverside
Stanford University

Barry C. Arnold's Academic­Influence.com Rankings