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

Piotr Pawlas; Dominik Szynal

Discussiones Mathematicae Probability and Statistics (2000)

  • Volume: 20, Issue: 2, page 223-231
  • ISSN: 1509-9423

Abstract

top
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.

How to cite

top

Piotr Pawlas, and Dominik Szynal. "Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations." Discussiones Mathematicae Probability and Statistics 20.2 (2000): 223-231. <http://eudml.org/doc/287710>.

@article{PiotrPawlas2000,
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.},
author = {Piotr Pawlas, Dominik Szynal},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {sample; order statistics; k-th lower record values; moments; product moments; inverse distributions; sample statistics},
language = {eng},
number = {2},
pages = {223-231},
title = {Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations},
url = {http://eudml.org/doc/287710},
volume = {20},
year = {2000},
}

TY - JOUR
AU - Piotr Pawlas
AU - Dominik Szynal
TI - Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Pareto's type and characterizations
JO - Discussiones Mathematicae Probability and Statistics
PY - 2000
VL - 20
IS - 2
SP - 223
EP - 231
AB - 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.
LA - eng
KW - sample; order statistics; k-th lower record values; moments; product moments; inverse distributions; sample statistics
UR - http://eudml.org/doc/287710
ER -

References

top
  1. [1] S.A. Klugman, H.H. Panjer and G.E. Willmot, Loss Models, From Data to Decisions, John Wiley & Sons, Inc., 1998. Zbl0905.62104
  2. [2] G.D. Lin, On a moment problem, Tôhoku Math. Journal 38 (1986), 595-598. Zbl0602.42016
  3. [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. [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. Zbl0932.62015

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.