arXiv subjects

Bhagwati Devi

Publications and source records attributed to Bhagwati Devi.

3 recordsLinked to original sources

arXiv2026

Record Values Based Inaccuracy Measures with an Application to Testing Symmetry

This paper studies information-theoretic inaccuracy measures for record values and their application to testing symmetry. We study the Kerridge inaccuracy measure, cumulative residual inaccuracy, cumulative past inaccuracy, and extropy-based inaccuracy measures to the distributions of nth upper and lower k-record values. Explicit expressions are derived for several common lifetime distributions (exponential, Pareto, Weibull, and uniform), and the monotonic behaviour of these measures with respect to the record order n, the parameter k, and the distributional parameters is analysed. Building on the known characterisation that equality of upper and lower record-based inaccuracy implies symmetry, we develop a nonparametric goodness-of-fit test for symmetry. The test statistic is the difference between the estimated Kerridge inaccuracy measures for upper and lower records, and its null distribution is obtained by a bootstrap procedure that enforces symmetry. A simulation study demonstrates that the test maintains its nominal level for a variety of symmetric distributions and achieves high power against skewed alternatives, while a real-data illustration on annual maximum temperatures confirms its practical usefulness.

math.ST↗

arXiv2025

Bayesian estimation of Unit-Weibull distribution based on dual generalized order statistics with application to the Cotton Production Data

The Unit Weibull distribution with parameters $\alpha$ and $\beta$ is considered to study in the context of dual generalized order statistics. For the analysis purpose, Bayes estimators based on symmetric and asymmetric loss functions are obtained. The methods which are utilized for Bayesian estimation are approximation and simulation tools such as Lindley, Tierney-Kadane and Markov chain Monte Carlo methods. The authors have considered squared error loss function as symmetric and LINEX and general entropy loss function as asymmetric loss functions. After presenting the mathematical results, a simulation study is conducted to exhibit the performances of various derived estimators. As this study is considered for the dual generalized order statistics that is unification of models based distinct ordered random variable such as order statistics, record values, etc. This provides flexibility in our results and in continuation of this, the cotton production data of USA is analyzed for both submodels of ordered random variables: order statistics and record values.

stat.ME↗

arXiv2025

Inference of Half Logistic Geometric Distribution Based on Generalized Order Statistics

As the unification of various models of ordered quantities, generalized order statistics act as a simplistic approach introduced in \cite{kamps1995concept}. In this present study, results pertaining to the expressions of marginal and joint moment generating functions from half logistic geometric distribution are presented based on generalized order statistics framework. We also consider the estimation problem of $\theta$ and provides a Bayesian framework. The two widely and popular methods called Markov chain Monte Carlo and Lindley approximations are used for obtaining the Bayes estimators.The results are derived under symmetric and asymmetric loss functions. Analysis of the special cases of generalized order statistics, \textit{i.e.,} order statistics is also presented. To have an insight into the practical applicability of the proposed results, two real data sets, one from the field of Demography and, other from reliability have been taken for analysis.

stat.ME↗