The extropy of order statistics and record values

By Guoxin Qiu. 2017

140 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e41864967c7c8a6fd9482522a5ba1f564dc77697

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In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

Some reliability properties of extropy for residual and past lifetime random variables (2020, background): “(1.1) Qiu (2017) has obtained several results on the extropy of order statistics and record values based on copies of X and also of coherent systems.”
On negative cumulative extropy with applications (2020, background): “Qiu (2017) discussed some characterization results, monotone properties, and lower bounds of extropy of order statistics and record values. Moreover, Qiu and Jia (2018a) studied on the residual extropy of order statistics. Qiu and Jia (2018b) explored the extropy estimators with applications in test”
On extropy properties of ranked set sampling (2018, background): “More recently, Qiu [19] developed some characterizations and lower bounds on extropy of order and record statistics.”
ON CUMULATIVE RESIDUAL EXTROPY (2020, background): “Qiu and Jia [15] proposed two estimators for extropy and they developed a goodness-of-fit test for standard uniform distribution.”
ON EXTROPY PROPERTIES OF MIXED SYSTEMS (2018, methodology): “5(b) in Qiu [17] proved that the first order statistic achieves the minimal extropy among order statistics associated with a DFR sample.”
On the estimation of extropy (2018, methodology): “Qiu and Jia (2018a) proved that JQ1mn Pr . −→ J(X) as n → ∞ ,m → ∞,m/n → 0. Next, Qiu and Jia (2018a) adjusted the weights of their estimator, in order to take into account the fact that the differences are truncated around the smallest and the largest data points.”
The residual extropy of order statistics (2018, unknown): “Definition 2.4 (Shaked and Shanthikumar, 2007).”
On weighted extropies (2020, background): “Analogous to residual entropy, Qiu (2017) defined the extropy for residual lifetime Xt, called the residual extropy at time t, as J (Xt) = − 1 2 ∫ +∞ 0 f 2Xt(x)dx = − 1 2F 2 (t) ∫ +∞ t f 2(x)dx. (6) In analogous manner, Krishnan et al. (2020) and Kamari and Buono (2020) studied the past extropy…”
Extropy estimators with applications in testing uniformity (2018, background): “Many researchers have also shown their interest in developing entropy-based goodnessof-fit tests including Vasicek (1976) and Arizono and Ohta (1989).”