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ArticleOriginal scientific text

Title

Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Maria Curie-Skłodowska University, M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Abstract

We give recurrence relations for single and product moments of k-th lower record values from the inverse Pareto, inverse generalized Pareto and inverse Burr distributions. We present also characterization conditions for these distributions.

Keywords

ENG
sample, order statistics, k-th lower record values, moments, product moments, inverse distributions

Bibliography

  1. S.A. Klugman, H.H. Panjer and G.E. Willmot, Loss Models, From Data to Decisions, John Wiley & Sons, Inc., 1998.
  2. G.D. Lin, On a moment problem, Tôhoku Math. Journal 38 (1986), 595-598.
  3. P. Pawlas and D. Szynal, Relations for single and product moments of k-th record values from exponential and Gumbel distribution, J. Appl. Statist. Sc. 7 (1) (1998), 53-62.
  4. P. Pawlas and D. Szynal, Recurrence relations for single and product moments of k-th record values from Pareto, generalized Pareto and Burr distributions, Commun. Statist.-Theory Meth. 28 (7) (1999), 1699-1709.
Discussiones Mathematicae Probability and Statistics
2000/20/2
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Pages:
223-231
Main language of publication
English
Received
2000-03-10
Published
2000

DOI: 10.7151/dmps.1013

Exact and natural sciences