Beg, M.I. and Ahsanullah, M. (2004) *On Characterizing Distributions by Conditional Expectations of Functions of Generalized Order Statistics.* Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
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Item Type: | Monograph (Technical Report) |

Authors: | Beg, M.I. and Ahsanullah, M. |

Series Name: | Department of Mathematics & Statistics. Technical Report No. 5/04. |

Corporate Authors: | Concordia University. Department of Mathematics & Statistics |

Institution: | Concordia University |

Date: | September 2004 |

ID Code: | 6646 |

Deposited By: | DIANE MICHAUD |

Deposited On: | 02 Jun 2010 12:10 |

Last Modified: | 08 Dec 2010 18:26 |

References: | AHSANULLAH, M. and WESOLOWSKI, J. (1998). Linearity of best pre-dictors for non-adjacent record values. Sankhya Ser. B 60 215-227.
AHSANULLAH, M. (2000). Generalized order statistics from exponential distribution. J. Statistical Planning and Inference 85 85-91. AHSANULLAH, M. (2004). Record Values{Theory and Applications. Univ.Press of America, Lanham, Maryland. AHSANULLAH, M. and RAQAB, M.Z. (2004). Characterizations of distributions by conditional expectations of generalized order statistics. J.Appl. Statistical Science 13 41-48. DAVID, H.A. and NAGARAJA, H.N. (2003). Order Statistics. 3rd ed. Wiley, New York. DEMBINSKA, A. and WESOLOWSKI, J. (1998). Linearity of regression for non-adjacent order statistics. Metrika 48 215-222. DEMBINSKA, A. and WESOLOWSKI, J. (2000). Linearity of regression for non-adjacent record values. J. Statistical Planning and Inference 90 195-205. FERGUSON, T.S. (1967). On characterizing distributions by properties of order statistics. Sankhya Ser. A 29 265-278. FRANCO, M. and RUIZ, J.M. (1997). On characterizations of distributions by expected values of order statistics and record values with gap. Metrika 45 107-119. GUPTA, R.C. and AHSANULLAH, M. (2004). Some characterization results based on the conditional expectation of a function of non-adjacent order statistic (record value). To appear in Ann. Inst. Statist. Math. KAMPS, U. (1995). A Concept of Generalized Order Statistics. Teubner,Stuttgart. KESELING, C. (1999). Conditional distributions of generalized order statistics and some characterizations. Metrika 49 27-40. LOPEZ BLAQUEZ, F. and MORENO REBOLLO, J.L. (1997). A charac- terization of distributions based on linear regression of order statistics and record values. Sankhya Ser. A 59 311-323. NAGARAJA, H.N. (1977). On a characterization based on record values. Aust. J. Statist. 19 70-73. NAGARAJA, H.N. (1988). Some characterizations of continuous distributions based on regressions of adjacent order statiastics and record values. Sankhya Ser. A 50 70-73. PUDEG, A. (1990). Characterizations of probability distributions by distributional properties of order statistics and record values. Ph. D. Thesis (in German) RWTH Aachen. RABENSTEIN, A.L. (1966). Introduction to Ordinary Di®erential Equations. Academic Press. RAO, C.R. and SHANBHAG, D.N. (1994). Choquet-Deny Type Functional Equations with Applications to Stochastic Models. Wiley, New York. RAQAB, M.Z. (2002). Characterizations of distributions based on the conditional expectations of record values. Statist. and Decisions 20 309- 319. WESOLOWSKI, J. and AHSANULLAH, M. (1997). On characterizing distributions by linearity of regression for order statistics. Aust. J. Statist. 39 69-78. WU, J.W. and LEE, W.C. (2001). On characterizations of generalized extreme values, power function, generalized Pareto and classical Paretodistributions by conditional expectation of record values. Statistical Papers 42 225-242. WU, J.W. (2004). Characterizing of distributions by conditional expectations of non-adjacent record values. J. Appl. Statistical Science 13 137-145. |

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