8 Recent approaches to characterizations based on order statistics and record values

[1]  C. R. Rao,et al.  Integrated Cauchy functional equation and characterizations of the exponential law , 1982 .

[2]  Ganapati P. Patil,et al.  Statistical Distributions in Scientific Work , 1981 .

[3]  B. Ramachandran,et al.  Functional equations in probability theory , 1991 .

[4]  B. Arnold,et al.  A characterization of geometric distributions by distributional properties of order statistics , 1976 .

[5]  George Marsaglia,et al.  A Note on the "Lack of Memory" Property of the Exponential Distribution , 1975 .

[6]  B. Holland,et al.  Record values and the geometric distribution , 1983 .

[7]  R. Shorrock.  A limit theorem for inter-record times , 1972 .

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

[9]  Ignacy I. Kotlarski,et al.  ON CHARACTERIZING THE GAMMA AND THE NORMAL DISTRIBUTION , 1967 .

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

[11]  J. S. Huang.  On a “lack of memory” property , 1981 .

[12]  Uri Liberman.  An order statistic characterization of the poisson renewal process , 1985 .

[13]  C. R. Rao,et al.  Solution of deny convolution equation restricted to a half line via a random walk approach , 1988 .

[14]  P. L. Davies,et al.  A GENERALIZATION OF A THEOREM OF DENY WITH APPLICATIONS IN CHARACTERIZATION THEORY , 1987 .

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

[16]  D. Shanbhag.  An extension of the Rao-Rubin characterization of the Poisson distribution , 1977, Journal of Applied Probability.

[17]  D. Shanbhag,et al.  Certain Characterizations of Exponential and Geometric Distributions , 1994 .

[18]  M. Ahsanullah.  A characterization of the exponential distribution by higher order gap , 1984 .

[19]  G. S. Rogers.  An Alternative Proof of the Characterization of the Density Ax B , 1963 .

[20]  D. Shanbhag.  Extended versions of Deny's theorem via de Finetti's theorem , 1991 .

[21]  G. Crawford.  Characterization of Geometric and Exponential Distributions , 1966 .

[22]  Characterization of the Exponential Distribution Using Lower Moments of Order Statistics , 1975 .

[23]  J. N. K. Rao,et al.  Statistics and related topics , 1984 .

[24]  N. Balakrishnan,et al.  A Characterization of Exponential Distributions Through Conditional Independence , 1992 .

[25]  H. Nagaraja,et al.  ON A CHARACTERIZATION BASED ON RECORD VALUES , 1977 .

[26]  N. Balakrishnan,et al.  A CHARACTERIZATION OF GEOMETRIC DISTRIBUTIONS THROUGH CONDITIONAL INDEPENDENCE , 1993 .

[27]  U. Gather.  On a characterization of the exponential distribution by properties of order statistics , 1988 .

[28]  R. Shorrock.  On record values and record times , 1972, Journal of Applied Probability.

[29]  W. Stadje.  A characterization of the exponential distribution involving absolute differences of i.i.d. random variables , 1994 .

[30]  Calyampudi R. Rao,et al.  A note on a characteristic property based on order statistics , 1996 .

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

[32]  R. Shorrock,et al.  Record values and inter-record times , 1973, Journal of Applied Probability.

[33]  T. Ferguson.  A Characterization of the Geometric Distribution , 1965 .

[34]  H. Rossberg.  Characterization of the exponential and the pareto distributions by means of some properties of the distributions which the differences and quotients of order statistics are subject to , 1972 .

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

[36]  Herman Rubin,et al.  A Characterization Based on the Absolute Difference of Two I. I. D. Random Variables , 1970 .

[37]  Mohammad Ahsanullah,et al.  Record values and the exponential distribution , 1978 .

[38]  R. Shimizu,et al.  On a lack of memory property of the exponential distribution , 1979 .

[39]  M. Zijlstra.  Characterizations of the geometric distribution by distributional properties , 1983, Journal of Applied Probability.

[40]  Thomas S. Ferguson,et al.  A CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION , 1964 .

[41]  R. C. Srivastava.  Two Characterizations of the Geometric Distribution , 1974 .

[42]  M. Ahsanullah.  On a characterization of the exponential distribution by spacings , 1978, Journal of Applied Probability.

[43]  E. Samuel-Cahn,et al.  Estimation of the Mean of a Selected Negative Exponential Population , 1984 .

[44]  S. Kotz,et al.  Some new approaches to probability distributions , 1980, Advances in Applied Probability.

[45]  B. Arnold.  Two characterizations of the geometric distribution , 1980, Journal of Applied Probability.

[46]  A Characterization of the Exponential Distribution , 1972 .

[47]  F. Downton.  An Integral Equation Approach to Equipment Failure , 1969 .

[48]  Calyampudi R. Rao,et al.  Comments on some papers involving the integrated Cauchy functional equation , 1993 .

[49]  J. Leslie,et al.  On a Characterization of the Exponential Distribution Based on a Type 2 Right Censored Sample , 1993 .

[50]  G. Woodworth.  Large Deviations and Bahadur Efficiency of Linear Rank Statistics , 1970 .

[51]  Calyampudi R. Rao,et al.  Recent results on characterization of probability distributions: a unified approach through extensions of Deny&s theorem , 1986, Advances in Applied Probability.

[52]  Relationships between order statistics and record values and some characterization results , 1984 .

[53]  A characterization of the geometric distribution , 1983 .

[54]  R. C. Srivastava,et al.  Some characterizations of geometric type distributions based on order statistics , 1987 .

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

[56]  W. Harkness,et al.  Characterizations of Some Distributions by Conditional Moments , 1965 .

[57]  Z. Govindarajulu.  Characterization of the geometric distribution using properties of order statistics , 1980 .

[58]  I. Olkin,et al.  Characterization Problems Associated with the Exponential Distribution , 1986 .

[59]  Calyampudi R. Rao,et al.  Recent Advances on the Integrated Cauchy Functional Equation and Related Results in Applied Probability , 1989 .

[60]  J. Galambos.  Characterizations of Probability Distributions by Properties of Order Statistics I , 1975 .