Modeling Heterogeneity and Extraneous Variation Using Weighted Distributions

1995 ◽  
pp. 241-249
Author(s):  
Dipak K. Dey ◽  
Fengchun Peng ◽  
Daniel Larose
Keyword(s):  
Weighted Distributions

scholarly journals Semiparametric estimation for count data through weighted distributions

2009 ◽  
Vol 139 (10) ◽  
pp. 3625-3638 ◽  
Author(s):  
C.C. Kokonendji ◽  
T. Senga Kiessé ◽  
N. Balakrishnan
Keyword(s):  
Count Data ◽  
Semiparametric Estimation ◽  
Weighted Distributions

scholarly journals Form-Invariance of the Non-Regular Exponential Family of Distributions

2018 ◽  
Vol 41 (2) ◽  
pp. 157-172
Author(s):  
Samereh Ghorbanpour ◽  
Rahim Chinipardaz ◽  
Seyed Mohammad Reza Alavi
Keyword(s):  
Exponential Family ◽  
Information Matrix ◽  
Likelihood Estimation ◽  
Weight Functions ◽  
Weighted Distribution ◽  
Weighted Distributions ◽  
Original Distribution ◽  
Special Cases ◽  
Exponential Family Of Distributions ◽  
Regular Family

The weighted distributions are used when the sampling mechanism records observations according to a nonnegative weight function. Sometimes the form of the weighted distribution is the same as the original distribution except possibly for a change in the parameters that is called the form-invariant weighted distribution. In this paper, by identifying a general class of weight functions, we introduce an extended class of form-invariant weighted distributions belonging to the non-regular exponential family which included two common families of distribution: exponential family and non-regular family as special cases. Some properties of this class of distributions such as the sufficient and minimal sufficient statistics, maximum likelihood estimation and the Fisher information matrix are studied.

Some Results on Weighted Distributions for Positive-Valued Random Variables

1987 ◽  
Vol 1 (4) ◽  
pp. 417-423 ◽  
Author(s):  
S. C. Kochar ◽  
R. P. Gupta
Keyword(s):  
Probability Distributions ◽  
Random Variables ◽  
Weighted Distributions ◽  
Partial Orderings

For nonnegative random variables, the weighted distributions have been compared with the original distributions with the help of partial orderings of probability distributions. Bounds on the moments of the weighted distributions have been obtained in terms of the moments of the original distributions for some nonparametric classes of aging distributions.

scholarly journals Residual Probability Function, Associated Orderings, and Related Aging Classes

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
M. Kayid ◽  
S. Izadkhah ◽  
S. Alshami
Keyword(s):  
Order Statistics ◽  
Probability Function ◽  
Equilibrium Distribution ◽  
Real Data ◽  
Life Testing ◽  
Monotone Transformation ◽  
Weighted Distributions ◽  
Original Distribution ◽  
Life Distributions

The concept of residual probability plays an important role in reliability and life testing. In this investigation, we study further the residual probability order and its related aging classes. Several characterizations and preservation properties of this order under some statistical and reliability operations of monotone transformation, mixture, weighted distributions, and order statistics are discussed. In addition, by comparing the original distribution with its associated equilibrium distribution with respect to the residual probability order, new aging classes of life distributions are proposed and studied. Finally, a test of exponentiality against such classes is derived and sets of real data are used as examples to elucidate the use of the proposed test for practical problems.

On some properties of bivariate weighted distributions

1991 ◽  
Vol 20 (5-6) ◽  
pp. 1853-1860 ◽  
Author(s):  
Barry C. Arnold ◽  
H.N. Nagaraja
Keyword(s):  
Weighted Distributions
Sign in / Sign up

Export Citation Format

Share Document