1 Order statistics: An introduction

[1]  H. Harter,et al.  Tables for the Use of Range and Studentized Range in Tests of Hypotheses , 1997 .

[2]  J. S. Huang.  Moment Problem of Order Statistics: A Review , 1989 .

[3]  Narayanaswamy Balakrishnan,et al.  2 Higher order moments of order statistics from exponential and right-truncated exponential distributions and applications to life-testing problems , 1998 .

[4]  H. Nagaraja,et al.  Order Statistics from Discrete Distributions , 1992 .

[5]  Calyampudi R. Rao,et al.  8 Recent approaches to characterizations based on order statistics and record values , 1998, Order statistics.

[6]  Paul I. Nelson,et al.  15 Prediction of order statistics , 1998 .

[7]  E. Kay,et al.  Methods for statistical analysis of reliability and life data , 1974 .

[8]  Haikady N. Nagaraja.  A note on the conditional Markov property of discrete order statistics , 1986 .

[9]  M. Fréchet.  Sur la loi de probabilité de l'écart maximum , 1928 .

[10]  Barry C. Arnold,et al.  4 Lorenz ordering of order statistics and record values , 1998, Order statistics.

[11]  P. Sen,et al.  Order statistics and inference : estimation methods , 1992 .

[12]  Moshe Shaked,et al.  5 Stochastic ordering of order statistics , 1998, Order statistics.

[13]  H. Nagaraja,et al.  Structure of discrete order statistics , 1986 .

[14]  M. R. Leadbetter,et al.  Extremes and Related Properties of Random Sequences and Processes: Springer Series in Statistics , 1983 .

[15]  Narayanaswamy Balakrishnan,et al.  15 Generalized recurrence relations for moments of order statistics from non-identical pareto and truncated pareto random variables with applications to robustness , 1998, Order statistics.

[16]  D. F. Andrews,et al.  Robust Estimates of Location , 1972 .

[17]  Victor Kipnis,et al.  A Recursive Formula for the Probability of Occurrence of at Least m out of N Events , 1986 .

[18]  Vic Barnett,et al.  Outliers in Statistical Data , 1980 .

[19]  Richard E. Barlow,et al.  Statistical Analysis of Reliability and Life Testing Models , 1975 .

[20]  Udo Kamps,et al.  9 Characterizations of distributions via identically distributed functions of order statistics , 1998, Order statistics.

[21]  Donald E. Ramirez,et al.  14 Some exact properties of cook's DI , 1998, Order statistics.

[22]  L. K. Chan.  On a Characterization of Distributions by Expected Values of Extreme Order Statistics , 1967 .

[23]  J. D. T. Oliveira,et al.  The Asymptotic Theory of Extreme Order Statistics , 1979 .

[24]  H. Nagaraja,et al.  Record values and related statistics - a review , 1988 .

[25]  S. Shapiro,et al.  An Analysis of Variance Test for Normality (Complete Samples) , 1965 .

[26]  F. N. David,et al.  STATISTICAL TREATMENT OF CENSORED DATA PART I. FUNDAMENTAL FORMULAE , 1954 .

[27]  B. Arnold,et al.  A first course in order statistics , 1994 .

[28]  N. Balakrishnan,et al.  3 Log-gamma order statistics and linear estimation of parameters , 1998 .

[29]  Calyampudi Radhakrishna Rao,et al.  Choquet-Deny Type Functional Equations with Applications to Stochastic Models , 1995 .

[30]  S. Malmquist,et al.  On a property of order statistics from a rectangular distribution , 1950 .

[31]  H. O. Hartley,et al.  Universal Bounds for Mean Range and Extreme Observation , 1954 .

[32]  Janos Galambos,et al.  11 Univariate extreme value theory and applications , 1998, Order statistics.

[33]  Udo Kamps,et al.  A concept of generalized order statistics , 1995 .

[34]  A. D. Barbour,et al.  Stochastic ordering of order statistics , 1991 .

[35]  Shie-Shien Yang,et al.  Concomitants of order statistics , 1976 .

[36]  Narayanaswamy Balakrishnan,et al.  7 Recurrence relations and identities for moments of order statistics , 1998, Order statistics.

[37]  Wassily Hoeffding,et al.  On the Distribution of the Expected Values of the Order Statistics , 1953 .

[38]  R. Serfling.  Approximation Theorems of Mathematical Statistics , 1980 .

[39]  A. Cohen.  Truncated and Censored Samples: Theory and Applications , 1991 .

[40]  P. V. Sukhatme.  TESTS OF SIGNIFICANCE FOR SAMPLES OF THE x2‐POPULATION WITH TWO DEGREES OF FREEDOM , 1937 .

[41]  S. Resnick.  Extreme Values, Regular Variation, and Point Processes , 1987 .

[42]  Wayne Nelson,et al.  Applied life data analysis , 1983 .

[43]  Narayanaswamy Balakrishnan,et al.  Duality principle in order statistics , 1993 .

[44]  A. Clifford Cohen,et al.  Parameter estimation in reliability and life span models , 1988 .

[45]  Samuel Kotz,et al.  Characterizations of Probability Distributions: A Unified Approach With an Emphasis on Exponential and Related Models , 1978 .

[46]  R. Fisher,et al.  Limiting forms of the frequency distribution of the largest or smallest member of a sample , 1928, Mathematical Proceedings of the Cambridge Philosophical Society.

[47]  Lee J. Bain.  Statistical analysis of reliability and life-testing models : theory and methods , 1992 .

[48]  Ned Glick,et al.  Breaking Records and Breaking Boards , 1978 .

[49]  Richard Von Mises.  Selected papers of Richard von Mises , 1963 .

[50]  Ralph B. D'Agostino,et al.  Goodness-of-Fit-Techniques , 2020 .

[51]  Narayanaswamy Balakrishnan,et al.  Relations, Bounds and Approximations for Order Statistics , 1989 .

[52]  H. Leon Harter,et al.  Order statistics and their use in testing and estimation , 1970 .

[53]  Tomasz Rychlik,et al.  6 Bounds for expectations of L-estimates , 1998, Order statistics.

[54]  A. E. Sarhan,et al.  Contributions to order statistics , 1964 .

[55]  E. J. Gumbel,et al.  The Maxima of the Mean Largest Value and of the Range , 1954 .

[56]  J. Wellner,et al.  Empirical Processes with Applications to Statistics , 2009 .

[57]  B. Gnedenko.  Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire , 1943 .

[58]  Narayanaswamy Balakrishnan,et al.  A log-concavity property of probability of occurrence of exactly r arbitrary events , 1993 .

[59]  M. Masoom Ali,et al.  7 Optimal linear inference using selected order statistics in location-scale models , 1998 .

[60]  Moti Lal Tiku,et al.  Robust Inference , 1986 .

[61]  Narayanaswamy Balakrishnan,et al.  A Useful Property of Best Linear Unbiased Predictors with Applications to Life-Testing , 1997 .

[62]  Narayanaswamy Balakrishnan,et al.  CRC Handbook of Tables for the Use of Order Statistics in Estimation , 1996 .

[63]  Pranab Kumar Sen,et al.  12 Order statistics: Asymptotics in applications , 1998, Order statistics.

[64]  J. Ord,et al.  Characterization Problems in Mathematical Statistics , 1975 .

[65]  Narayanaswamy Balakrishnan,et al.  A Note on the Best Linear Unbiased Estimation Based on Order Statistics , 1997 .

[66]  E. H. Lloyd.  LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICS , 1952 .

[67]  Enrique Castillo.  Extreme value theory in engineering , 1988 .

[68]  Narayanaswamy Balakrishnan,et al.  4 Recurrence relations for single and product moments of order statistics from a generalized logistic distribution with applications to inference and generalizations to double truncation , 1998 .

[69]  U. Kamps.  10 Characterizations of distributions by recurrence relations and identities for moments of order statistics , 1998, Order statistics.

[70]  N. Salakbishnan,et al.  Recurrence relations for order statistics from n independent and non-identically distributed random variables , 1988 .

[71]  Franz Konecny,et al.  Probability and statistical decision theory , 1985 .

[72]  R. Reiss.  Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics , 1989 .

[73]  Pandu R. Tadikamalla,et al.  3 Computer simulation of order statistics , 1998, Order statistics.

[74]  A. Goldberger.  Best Linear Unbiased Prediction in the Generalized Linear Regression Model , 1962 .

[75]  A. K. Md. Ehsanes Saleh,et al.  9 On some L-estimation in linear regression models , 1998 .

[76]  Ludger Rüschendorf.  Two remarks on order statistics , 1985 .