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1. Modified Cumulative Extropies of Doubly Truncated Random Variables

   In this paper, we introduce the modified doubly truncated cumulative residual and past extropies, which are generalizations of corresponding...

   M. Hashempour, M. Mohammadi, ... A. H. Khammar in Sankhya B

   Article 08 April 2024
   

2. Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis

   In the present work we discuss some new results and applications of the Kullback-Leibler residual divergence. It is shown that the residual...

   N. Unnikrishnan Nair, S. M. Sunoj, Rajesh G. in Sankhya A

   Article 23 March 2022
   

3. Quantile Based Geometric Vitality Function of Order Statistics

   Abstract

   In [ 1 ], the authors introduced the geometric vitality function that explains the failure pattern of components or systems based on the...

   E. I. Abdul Sathar, Veena L. Vijayan in Mathematical Methods of Statistics

   Article 01 March 2023
   

4. Prediction of the remaining testing time for the generalized Pareto progressive censoring samples with applications to extreme hydrology events

   The prediction of the unobserved units is typically based on the derivations of the predictive distributions of the individual observations. This...

   M. Z. Raqab, O. M. Bdair, ... F. A. Alqallaf in Journal of Statistical Theory and Practice

   Article 01 June 2018

5. On cumulative residual (past) inaccuracy for truncated random variables

   To overcome the drawbacks of Shannon’s entropy, the concept of cumulative residual and past entropy has been proposed in the information theoretic...

   Chanchal Kundu, Antonio Di Crescenzo, Maria Longobardi in Metrika

   Article 02 August 2015
   

6. Some Results on DDCRE Class of Life Distributions

   Asadi and Zohrevand ( 2007 ). On the dynamic cumulative residual entropy. J. Statist. Plann. Inference, 137, 1931–1941] define the decreasing dynamic...

   Dian-tong Kang in Sankhya A

   Article 24 December 2014

7. Characterizations based on measure of inaccuracy for truncated random variables

   In recent years, different authors have shown interest to study Kerridge inaccuracy measure for truncated distributions. In the present...

   Chanchal Kundu, Asok K. Nanda in Statistical Papers

   Article 24 May 2014

8. Variance residual life function based on double truncation

   Since, most of the real observations in industrial and reliability studies, are left, right or doubly truncated data, studying the reliability...

   M. Khorashadizadeh, A. H. Rezaei Roknabadi, G. R. Mohtashami Borzadaran in METRON

   Article 16 July 2013
   

9. Optimal Structural Nested Models for Optimal Sequential Decisions

   I describe two new methods for estimating the optimal treatment regime (equivalently, protocol, plan or strategy) from very high dimesional...

   James M. Robins in Proceedings of the Second Seattle Symposium in Biostatistics

   Chapter 2004
   

10. The Poisson Process

    Suppose that an event E may occur at any point in time and that the number of occurrences of E during disjoint time intervals is independent. As...

    Allan Gut in An Intermediate Course in Probability

    Chapter 1995
    

11. Introduction

    As explained in the Preface, we study a collection of individuals, each moving among a finite (usually small) number of states. The exact transition...

    Per Kragh Andersen, Ørnulf Borgan, ... Niels Keiding in Statistical Models Based on Counting Processes

    Chapter 1993
    

12. Nonparametric Estimation

    In the preceding chapter we discussed how the mathematical theory of Chapter II could be used to specify statistical models based on counting...

    Per Kragh Andersen, Ørnulf Borgan, ... Niels Keiding in Statistical Models Based on Counting Processes

    Chapter 1993