Goodness-of-Fit Test Based on Kullback-Leibler Information for Progressively Type-II Censored Data

Kullback-Leibler Information of Consecutive Order Statistics

“…For example, up to date, there have been numerous studies about goodness-of-fit tests with censored data based on KL information (Balakrishnan et al, 2007;Park, 2005;Park and Shin, 2014;Rad et al, 2011). However, a goodnessof-fit test for data including both left and right censoring has not been done.…”

Goodness of Fit Using a New Estimate of Kullback-Leibler Information Based on Type II Censored Data

“…Because reliability and life-testing experiments often involve different censoring schemes, tests of fit for other censoring schemes such as progressively Type-II and hybrid censored data will be of interest. There are a number of goodness of fit tests in the literature for progressively Type-II censored data; see, for example, Balakrishnan et al [30], [10], Habibi Rad et al [19], and Pakyari and Balakrishnan [21], [31]. But, no goodness of fit test has been developed for hybrid censored data yet.…”

“…So, an estimate of KL information has been used as a test statistic for goodness of fit purposes. For example, Arizono and Ohta [12], Ebrahimi et al [13], Park and Park [14], and Alizadeh Noughabi and Arghami [15] have discussed such tests for complete samples, while Balakrishnan et al [10], Lim and Park [16], Lin et al [17], Castro-Kuriss [18], Habibi Rad et al [19], Grané [20], Pakyari and Balakrishnan [21], and Park and Lim [22] developed tests based on censored samples. Moreover, Ebrahimi [23] considered the problem of testing the goodness of fit for the exponentiality of the remaining life of a system at a certain age.…”

Tests of goodness of fit based on Phi-divergence

“…But, in reliability and life-testing experiments, data are often censored and especially right-censored. There are Downloaded by [New York University] at 07:46 04 August 2015 some goodness of fit tests in this case in the literature; see, for example [5,6,17,[26][27][28]. Therefore, extension of the goodness of fit test proposed here to right-censored data or progressively rightcensored data will be quite useful and interesting.…”