PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2000 | 20 | 2 | 189-209
Tytuł artykułu

On the Bayes estimators of the parameters of inflated modified power series distributions

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we study the class of inflated modified power series distributions (IMPSD) where inflation occurs at any of support points. This class includes among others the generalized Poisson,the generalized negative binomial and the lost games distributions. We derive the Bayes estimators of parameters for these distributions when a parameter of inflation is known. First, we take as the prior distribution the uniform, Beta and Gamma distribution. In the second part of this paper, the prior distribution is the generalized Pareto distribution.
Twórcy
  • Department of Mathematics, Technical University of Lublin, Nadbystrzycka 38 A, 20-618 Lublin
  • Institute of Mathematics, University of Maria Curie-Skłodowska, Marii Curie-Skłodowskiej 1, 20-031 Lublin
Bibliografia
  • [1] M. Ahsanullah, Recurrence relations for single and product moments of record values from generalized Pareto distribution, Commun. Statist.-Theory Meth. 23 (10) (1994), 2841-2852.
  • [2] H. Cramér, Mathematical Methods of Statistics, 1945.
  • [3] P.L. Gupta, R.C. Gupta and R.C. Tripathi, Inflated modified power series distribution, Commun. Statist.-Theory Meth. 24 (9) (1995), 2355-2374.
  • [4] K.G. Janardan, Moments of certain series distributions and their applications, J. Appl. Math. 44 (1984), 854-868.
  • [5] A.W. Kemp and C.D. Kemp, On a distribution associated with certain stochastic processes, J. Roy. Statist. Soc. Ser. B, 30 (1968), 160-163.
  • [6] M. Murat and D. Szynal, Non-zero inflated modified power series distributions, Commun. Statist.-Theory Meth. 27 (12) (1998), 3047-3064.
  • [7] K.N. Pandey, Generalized inflated Poisson distribution, J. Scienc. Res. Banares Hindu Univ., XV (2) (1964-65), 157-162.
  • [8] J. Pikands, Statistical inference using extreme order statistics, Ann. Statist. 3 (1) (1975), 119-131.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1011
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.