6 papers
Record Values Based Inaccuracy Measures with an Application to Testing Symmetry
Santosh Kumar Chaudhary, Bhagwati Devi
This paper studies information-theoretic inaccuracy measures for record values and their application to testing symmetry. We study the Kerridge inaccuracy measure, cumulative resid…
On general weighted cumulative residual (past) extropy of extreme order statistics
Santosh Kumar Chaudhary, Sarikul Islam, Nitin Gupta
Weighted extropy has recently emerged as a flexible information measure for quantifying uncertainty, with particular relevance to order statistics. In this paper, we introduce and…
Extension of Yager's negation of probability distribution based on uncertainty measures
Santosh Kumar Chaudhary, Pradeep Kumar Sahu, Nitin Gupta
Existing research on negations primarily focuses on entropy and extropy. Recently, new functions such as varentropy and varextropy have been developed, which can be considered as e…
A characterization of uniform distribution using varextropy with application in testing uniformity
Santosh Kumar Chaudhary, Nitin Gupta
In statistical analysis, quantifying uncertainties through measures such as entropy, extropy, varentropy, and varextropy is of fundamental importance for understanding distribution…
Study of inaccuracy measures of record values
Santosh Kumar Chaudhary, Nitin Gupta
In this paper, we investigate inaccuracy measures based on record values, focusing on the relationship between the distribution of the n-th upper and lower k-record values and the…
On cumulative and relative cumulative past information generating function
Santosh Kumar Chaudhary, Nitin Gupta, Achintya Roy
In this paper, we introduce the cumulative past information generating function (CPIG) and relative cumulative past information generating function (RCPIG). We study its properties…