Some characterizations of continuous symmetric distributions based on extropy of record values

  title={Some characterizations of continuous symmetric distributions based on extropy of record values},
  author={Nitin Gupta and Santosh Chaudhary},
  journal={Statistical Papers},
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 cumulative residual (past) extropy, generalised cumulative residual (past) extropy, also some common Kerridge inaccuracy measures. Using inaccuracy extropy measures, it is demonstrated that continuous symmetric distributions are characterised by an equality of… 
1 Citation

General weighted cumulative residual (past) extropy of minimum (maximum) ranked set sampling with unequal samples

The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this paper. There are some results in relation to GWCPJ and GWCRJ. We

Testing symmetry based on the extropy of record values

In this paper, we first present the symmetric property of the extropy of record values and some characterisations of exponential distributions. Then a new test for symmetry of the continuous

Weighted extropies and past extropy of order statistics and k-record values

Abstract In addition to entropy, extropy - the complementary dual of entropy has also gained importance as a measure of information in many areas. Extropy of order statistics, record values and mixed

Characterization of continuous symmetric distributions using information measures of records

  • J. Ahmadi
  • Mathematics, Computer Science
    Statistical Papers
  • 2020
It is proved that the equality of information in upper and lower k-records is a characteristic property of continuous symmetric distributions.


Recently, an alternative measure of uncertainty called extropy is proposed by Lad et al. [12]. The extropy is a dual of entropy which has been considered by researchers. In this article, we introduce

Extropy estimators with applications in testing uniformity

ABSTRACT Two estimators for estimating the extropy of an absolutely continuous random variable with known support were introduced by using spacing. It is shown that the proposed estimators are

Symmetry being tested through simultaneous application of upper and lower k-records in extropy

This study proposes a new test for testing the symmetry in the distribution of the data observed on a random variable. The test for symmetry has been constructed using a characterization result

On weighted extropies

Abstract The extropy is a measure of information introduced as dual to entropy. It is a shift-independent information measure just as the entropy. We introduce here the notion of weighted extropy, a

Some Reliability Properties of Extropy and its Related Measures Using Quantile Function

Extropy is a recent addition to the family of information measures as a complementary dual of Shannon entropy, to measure the uncertainty contained in a probability distribution of a random variable.

Characterization of symmetric distributions based on concomitants of ordered variables from FGMs family of bivariate distributions

Several characterization results of a symmetric distribution based on concomitants of order statistics as well as k-records from Farlie-Gumbel-Morgenstern (FGM) family of bivariate distributions