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math.ST2024
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…
cs.IT2024
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…
math.ST2024
Extropy and Varextropy estimators with applications
Santosh Kumar Chaudhary, Nitin Gupta
In many statistical studies, the measure of uncertainties like entropy, extropy, varentropy and varextropy of a distribution function is of prime interest. This paper proposes esti…