Order statistics from the linear-exponential distribution, part I: increasing hazard rate case

For the linear-exponential distribution with increasing hazard rate, exact and explicit expressions for means, product moments and percentage points of order statistics are obtained. Some recurrence relations for both single and product moments of order statistics are also derived. These recurrence relations would enable one to obtain all the higher order moments of order statistics for all sample sizes from those of the lower order

[1]  C. Nicholson,et al.  THE PROBABILITY INTEGRAL FOR TWO VARIABLES , 1943 .

[2]  D. Owen Tables for Computing Bivariate Normal Probabilities , 1956 .

[3]  Simon Broadbent,et al.  Simple Mortality Rates , 1958 .

[4]  R. C. Bose,et al.  MOMENTS OF ORDER STATISTICS FROM A NORMAL POPULATION , 1959 .

[5]  H. Ruben,et al.  Tables of the Bivariate Normal Distribution Function and Related Functions , 1960 .

[6]  D. G. Beech,et al.  Handbook of Statistical Tables. , 1962 .

[7]  Algorithm 209: Gauss , 1963, CACM.

[8]  E. Gehan,et al.  Plasmacytic myeloma. A study of the relationship of survival to various clinical manifestations and anomalous protein type in 112 patients. , 1967, The American journal of medicine.

[9]  Calyampudi Radhakrishna Rao,et al.  Formulae and tables for statistical work , 1968 .

[10]  H. O. Hartley,et al.  Biometrika Tables for Statisticians, Vol. 2 , 1973 .

[11]  Danny D. Dyer,et al.  Best Linear Unbiased Estimator of the Parameter of the Rayleigh Distribution - Part I: Small Sample Theory for Censored Order Statistics , 1973 .

[12]  A. K. Md. Ehsanes Saleh,et al.  Exact first and second order moments of order statistics from the truncated exponential distribution , 1975 .

[13]  Ziro Yamauti,et al.  Statistical Tables and Formulas with Computer Applications , 1975 .

[14]  Peter F. Heil,et al.  Survival Distributions: Reliability Applications in the Biomedical Sciences , 1976 .

[15]  G. E. Thomas,et al.  Remark AS R19 and Algorithm AS 109: A Remark on Algorithms: AS 63: The Incomplete Beta Integral AS 64: Inverse of the Incomplete Beta Function Ratio , 1977 .

[16]  A note on the mixed moments of order statistics from exponential and truncated exponential distributions , 1982 .

[17]  C. Read,et al.  Handbook of the normal distribution , 1982 .

[18]  P. C. Joshi,et al.  Product moments of order statistics from the doubly truncated exponential distribution , 1984 .