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Composite likelihoods are a class of alternatives to the full likelihood which are widely used in many situations in which the likelihood itself is intractable. A composite likelihood may be computed without the need to specify the full…

Statistics Theory · Mathematics 2014-01-08 Helen Ogden

Using different extropies of k record values various characterizations are provided for continuous symmetric distributions. The results are in addition to the results of Ahmadi, J. (Statistical Papers, 2021, 62:2603-2626). These include…

Statistics Theory · Mathematics 2022-08-16 Nitin Gupta , Santosh Kumar Chaudhary

In this paper, we are testing the symmetry in the distribution of data observed on a random variable. We proposed test statistics using cumulative past and residual extropy of record values based on the characterization developed by Gupta…

Methodology · Statistics 2022-09-15 Santosh Kumar Chaudhary , Nitin Gupta

This paper examines nonparametric regression with an exogenous threshold variable, allowing for an unknown number of thresholds. Given the number of thresholds and corresponding threshold values, we first establish the asymptotic properties…

Economics · Quantitative Finance 2018-02-26 Yan-Yu Chiou , Mei-Yuan Chen , Jau-er Chen

In the past six years, a considerable attention has been given to the extropy measure proposed by Lad et al. (2015). Weighted Extropy of Ranked Set Sampling was studied and compared with simple random sampling by Qiu et al. (2022). The…

Statistics Theory · Mathematics 2022-07-06 Nitin Gupta , Santosh Kumar Chaudhary

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

In the present work, we provide the asymptotic behavior of the residual-past entropy, of the mean residual-past lifetime distribution and of the residual-past inaccuracy measure. We are interested in these measures of uncertainty in the…

Statistics Theory · Mathematics 2019-12-03 Ba Amadou Diadie

Gupta and Chaudhary [14] introduced general weighted extropy and studied related properties. In this paper, we study conditional extropy and define the monotonic behaviour of conditional extropy. Also, we obtain results on the convolution…

Information Theory · Computer Science 2023-01-03 Nitin Gupta , Santosh Kumar Chaudhary

In this work, we propose extropy measures based on density copula, distributional copula, and survival copula, and explore their properties. We study the effect of monotone transformations for the proposed measures and obtain bounds. We…

Statistics Theory · Mathematics 2024-06-04 Shital Saha , Suchandan Kayal

In this paper, we introduce the weighted cumulative residual Mathai--Haubold entropy and establish its fundamental properties. A dynamic version is developed, and its behavior under linear transformations is studied. Bounds and explicit…

Methodology · Statistics 2026-04-28 Anija C. R , Smitha S , Sudheesh K. Kattumannil

The subject of robust estimation in time series is widely discussed in literature. One of the approaches is to use GM-estimation. This method incorporates a broad class of nonparametric estimators which under suitable conditions includes…

Statistics Theory · Mathematics 2007-06-13 Alexander Alekseev

In this paper, we study some properties and characterization of the general weighted cumulative past extropy (n-WCPJ). Many results including some bounds, inequalities, and effects of linear transformations are obtained. We study the…

Statistics Theory · Mathematics 2023-05-09 Pradeep Kumar Sahu , Nitin Gupta

Recently, there has been growing attention to study uncertainty measures for doubly truncated random variables. In this paper, the concept of varextropy for doubly truncated random variables is introduced. The changes of this measure under…

Statistics Theory · Mathematics 2024-08-01 Raheleh Zamini , Somayeh Ghafouri , Faranak Goodarzi

This paper introduces a new class of robust estimates for ARMA models. They are M-estimates, but the residuals are computed so the effect of one outlier is limited to the period where it occurs. These estimates are closely related to those…

Statistics Theory · Mathematics 2009-04-02 Nora Muler , Daniel Peña , Víctor J. Yohai

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

Statistics Theory · Mathematics 2015-07-07 Yu. Yu. Linke

We present two new estimators for estimating the entropy of absolutely continuous random variables. Some properties of them are considered, specifically consistency of the first is proved. The introduced estimators are compared with the…

Statistics Theory · Mathematics 2014-05-05 A. Kohansal , S. Rezakhah

Extropy, a complementary dual of entropy, (proposed by Lad et al. \cite{lad2015extropy} in 2015) has attracted considerable interest from the research community. In this study, we focus on discrete random variables and define conditional…

Information Theory · Computer Science 2025-07-16 Naveen Kumar , Vivek Vijay

We review the alternative proposals introduced recently in the literature to update the standard formula to estimate the uncertainty on the mean of repeated measurements, and we compare their performances on synthetic examples with normal…

Data Analysis, Statistics and Probability · Physics 2022-09-13 Pascal Pernot , Jean-Paul Berthet

In this paper, we introduce weighted fractional generalized cumulative past entropy of a nonnegative absolutely continuous random variable with bounded support. Various properties of the proposed weighted fractional measure are studied.…

Statistics Theory · Mathematics 2022-07-14 Suchandan Kayal , N. Balakrishnan

In this work, we propose estimators for the uncertainty in mean residual times that require, for their evaluation, statistically independent individual residence times obtained from a discrete time process. We examine their performance…

Methodology · Statistics 2024-05-16 Hernán R. Sánchez , Javier Garcia