On Characterization of Continuous Distributions with Adjacent Order Statistics

References

• Ferguson , T. S. 1967 . On characterizing distributions by properties of order statistics . Sankhya, Ser. A , 29 : 265 – 278 .
   Google Scholar
• Glänzel , W. , Telcs , A. and Schubert , A. 1984 . Characterization by truncated moments and its application to Pearson-type distributions . Z. Wahrsch. Verw. Gebiete , 66 : 173 – 183 .
   Web of Science ®Google Scholar
• Glänzel , W. 1990 . Some consequences of a characterization theorem based on truncated moments . Statistics , 21 : 613 – 618 .
   Google Scholar
• Hall , W. J. and Wellner , J. A. 1981 . “ Mean residual life ” . In Statistics and Related Topics , Edited by: Csörgö , M. 169 – 184 . North Holland Publishing Company .
   Google Scholar
• Hamdan , M. A. 1972 . On a characterization by conditional expectations . Technometrics , 14 : 497 – 499 .
   Web of Science ®Google Scholar
• Khan , A. H. and Khan , I. A. 1986 . Characterization of the Pareto and Power function distributions . J. Statist. Res. , 20 : 71 – 79 .
   Google Scholar
• Khan , A. H. and Khan , I. A. 1987 . Moments of order statistics from Burr distribution and its characterizations . Metron , 45 : 21 – 29 .
   Google Scholar
• Khan , A. H. and Abu-Salih , M. S. 1989 . Characterizations of probability distributions by conditional expectation of order statistics . Metron , 47 : 171 – 181 .
   Google Scholar
• Kotlarski , I. I. 1972 . On a characterization of some probability distributions by conditional expectations . Sankhya. Ser. A , 34 : 461 – 466 .
   Google Scholar
• Kotz , S. and Shanbhag , D. N. 1980 . Some new approaches to probability distributions . Adv. Appl. Prob. , 12 : 903 – 921 .
   Web of Science ®Google Scholar
• Mohie El-Din , M. M. , Mahmoud , M. A. W. and Abo Youssef , S. E. 1991 . Moments of order statistics from parabolic and skewed distributions and a characterization of Weibull distribution . Commun. Statist.-Simulat. , 20 : 639 – 645 .
   Web of Science ®Google Scholar
• Nagaraja , H. N. 1988 . Some characterizations of continuous distributions based on regressions of adjacent order statistics and record values . Sankhya, Ser A , 50 : 70 – 73 .
   Google Scholar
• Ouyang , L. Y. 1983 . On characterizations of distributions by conditional expectations . Tamkang J. Management Sci., , 4 : 13 – 21 .
   Google Scholar
• Ouyang , L. Y. 1987 . On characterizations of probability distributions based on conditional expected values . Tamkang J. Mathematics , 18 : 113 – 122 .
   Google Scholar
• Rogers , G. S. 1963 . An alternative proof of the characterization of the density A · xB . Amer. Math. Monthly , 70 : 857 – 858 .
   Web of Science ®Google Scholar
• Shanbhag , D. N. 1970 . The characterizations for exponential and geometric distributions . J. Amer. Statist. Assoc. , 65 : 1256 – 1259 .
   Web of Science ®Google Scholar
• Swartz , G. B. 1973 . The mean residual lifetime function . IEEE Transactions on reliability , 22 : 108 – 109 .
   Google Scholar
• Talwalker , S. 1977 . A note on characterization by the conditional expectations . Metrika , 24 : 129 – 136 .
   Google Scholar
• Zoroa , P. , Ruiz , J. M. and Marin , J. 1990 . A characterization based on condtional expectations . Commun. Statist.-Theory Meth. , 19 : 3127 – 3135 .
   Web of Science ®Google Scholar