UNIVERSITY
OF WROCŁAW
 
Main Page
Contents
Online First
General Information
Instructions for authors


VOLUMES
43.2 43.1 42.2 42.1 41.2 41.1 40.2
40.1 39.2 39.1 38.2 38.1 37.2 37.1
36.2 36.1 35.2 35.1 34.2 34.1 33.2
33.1 32.2 32.1 31.2 31.1 30.2 30.1
29.2 29.1 28.2 28.1 27.2 27.1 26.2
26.1 25.2 25.1 24.2 24.1 23.2 23.1
22.2 22.1 21.2 21.1 20.2 20.1 19.2
19.1 18.2 18.1 17.2 17.1 16.2 16.1
15 14.2 14.1 13.2 13.1 12.2 12.1
11.2 11.1 10.2 10.1 9.2 9.1 8
7.2 7.1 6.2 6.1 5.2 5.1 4.2
4.1 3.2 3.1 2.2 2.1 1.2 1.1
 
 
WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 38, Fasc. 3,
pages 39 - 59
DOI: 10.19195/0208-4147.38.1.3
 

SHARP BOUNDS ON THE EXPECTATIONS OF LINEAR COMBINATIONS OF kth RECORDS EXPRESSED IN THE GINI MEAN DIFFERENCE UNITS

Paweł Marcin Kozyra
Tomasz Rychlik

Abstract: We describe a method of calculating sharp lower and upper bounds on the expectations of linear combinations of k th records expressed in the Gini mean difference units of the original i.i.d. observations. In particular, we provide sharp lower and upper bounds on the expectations of k th records and their differences. We also present the families of distributions which attain the bounds in the limit.

2010 AMS Mathematics Subject Classification: Primary: 60E15, 62G32.

Keywords and phrases: Expectation, Gini mean difference, sharp bound, k th record.

Download:    Abstract    Full text   Abstract + References