Marginal distributions of sequential and generalized order statistics

[1]  Narayanaswamy Balakrishnan,et al.  Order statistics : theory & methods , 1998 .

[2]  W. G. Marchal,et al.  Characterizations of generalized hyperexponential distribution functions , 1987 .

[3]  M. Springer,et al.  The Distribution of Products of Beta, Gamma and Gaussian Random Variables , 1970 .

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

[5]  Some Generalisations of the Distributions of Product Statistics Arising from Rectangular Populations , 1964 .

[6]  P. R. Nelson.  The algebra of random variables , 1979 .

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

[8]  Udo Kamps,et al.  Estimation with Sequential Order Statistics from Exponential Distributions , 2001 .

[9]  J. Likeš.  Distributions of Some Statistics in Samples from Exponential and Power-Function Populations , 1967 .

[10]  P. R. Rider.  The Distribution of the Product of Maximum Values in Samples from a Rectangular Distribution , 1955 .

[11]  Udo Kamps,et al.  Bounds for means and variances of progressive type II censored order statistics , 2001 .

[12]  F. David,et al.  Statistical Estimates and Transformed Beta-Variables. , 1960 .

[13]  Narayanaswamy Balakrishnan,et al.  Order statistics : applications , 1998 .

[14]  Dietmar Pfeifer.  CHARACTERIZATIONS OF EXPONENTIAL DISTRIBUTIONS BY INDEPENDENT NON-STATIONARY RECORD INCREMENTS , 1982 .

[15]  Stephen M. Stigler,et al.  Fractional Order Statistics, with Applications , 1977 .

[16]  H. A. David,et al.  Order Statistics (2nd ed). , 1981 .

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

[18]  Generalized densities of order statistics , 1999 .

[19]  D. Nasri-Roudsari.  Extreme value theory of generalized order statistics , 1996 .

[20]  D. Fan.  The distribution of the product of independent beta variables , 1991 .

[21]  ON THE DISTRIBUTION OF PRODUCTS OF INDEPENDENT BETA VARIABLES , 1969 .

[22]  H. A. David,et al.  Robustness of Location Estimators in the Presence of an Outlier , 1978 .

[23]  T. Rychlik,et al.  On the existence of moments of generalized order statistics , 2002 .

[24]  Logconcavity and unimodality of progressively censored order statistics , 2004 .

[25]  Udo Kamps,et al.  Sequential order statistics and k-out-of-n systems with sequentially adjusted failure rates , 1996 .

[26]  A. Rényi.  On the theory of order statistics , 1953 .

[27]  A class of distributions connected to order statistics with nonintegral sample size , 1988 .

[28]  I. Kotlarski.  On groups of n independent random variables whose product follows the beta distribution , 1962 .

[29]  T. Rychlik,et al.  Evaluations of expected generalized order statistics in various scale units , 2002 .

[30]  Dietmar Pfeifer.  THE STRUCTURE OF ELEMENTARY PURE BIRTH PROCESSES , 1982 .

[31]  K. Lau,et al.  Characterization of the exponential distribution by the relevation transform , 1990, Journal of Applied Probability.

[32]  Arak M. Mathai,et al.  A handbook of generalized special functions for statistical and physical sciences , 1993 .

[33]  Ramesh C. Gupta,et al.  Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values , 1988 .

[34]  E. M. Scheuer,et al.  Reliability of an m-out of-n system when component failure induces higher failure rates in survivors , 1988 .

[35]  Martin Krakowski.  The relevation transform and a generalization of the gamma distribution function , 1973 .

[36]  M. V. Jambunathan.  Some Properties of Beta and Gamma Distributions , 1954 .

[37]  Marvin Zelen,et al.  Mathematical Theory of Reliability , 1965 .

[38]  W. Dziubdziela,et al.  Limiting properties of the k-th record values , 1976 .

[39]  T. W. Anderson.  An Introduction to Multivariate Statistical Analysis , 1959 .

[40]  C. W. Clenshaw,et al.  The special functions and their approximations , 1972 .

[41]  Udo Kamps.  Characterizations of the exponential distribution by weighted sums of iid random variables , 1990 .

[42]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .