Recursive computation of the single and product moments of order statistics from the complementary exponential–geometric distribution

Moments of progressively type-II censored order statistics from the complementary exponential geometric distribution and associated inference

“…. ; n; and these values can be obtained from the results of Balakrishnan et al (2015b) for the usual order statistics. The first and second order moments with m [ 1 can be computed as follows:…”

“…For more discussions related to the properties of this distribution and its extension, one may refer to Adamidis et al (2005) and Louzada et al (2011). Recurrence relations for moments and moment generating functions from the CEG distribution were investigated, among others, by Kumar (2015), and Balakrishnan et al (2015b). Alma and Belaghi (2020) studied the estimation of the CEG parameters under progressive Type-II censoring.…”

“…For example, see Balakrishnan and Aggarwala (2012), ; Balakrishnan et al (2001), , 2013, Mahmoud et al (2014), Malik and Kumar (2017), Singh and Khan (2019), Dey et al (2019), Kumar et al (2019) and Pushkarna et al (2020). The moments of usual order statistics have been recursively derived, for example, see Balakrishnan (1985), Balakrishnan et al (2015aBalakrishnan et al ( , 2015b, Akhter et al (2020) and Liu and Balakrishnan (2020), among others.…”

Relations for Moments of Generalized Order Statistics for Transmuted Exponential Distribution and Characterization

“…Hanif Shahbaz and Shahbaz (2017) have obtained recurrence relations for moments of gos for Kumaraswamy Pareto distribution. Some other notable references include Ahsanullah et al (2015), Balakrishnan et al (2015), Kumar et al (2019) among others. The recurrence relations for moments of transmuted distributions have not been explored and in this paper we have obtained the recurrence relations for moments of gos for transmuted exponential distribution.…”

Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application

“…In recent times, several papers and books have been published on order statistics and their distributional properties. Among them are David and Nagaraja [7]; Arnold et al [8]; Balakrishnan and Cohen [9]; Balakrishnan and Ahsanullah [10]; Balakrishnan and Sultan [11]; Malik et al [12]; Mahmoud et al [13]; Genc [14]; MirMostafaee [15]; Balakrishnan et al [16]; Kumar and Dey [17]; Sultan et al [18]; Sultan and AL-ubyani [19]; Kumar et al [20]; and so on. Due to the wide applications of order statistics, several authors have carried out extensive studies on these kinds of ordered data.…”