A Laguerre polynomial approximation for a goodness-of-fit test for exponential distribution based on progressively censored data

On the condensed density of the generalized eigenvalues of pencils of Gaussian random matrices and applications

“…a k were generated from the complex exponentials model with p * = 5 components given by ξ = e −0.1−i2π0.3 , e −0.05−i2π0.28 , e −0.0001+i2π0.2 , e −0.0001+i2π0.21 , e −0. Estimates of the first 10 coefficients of the Laguerre expansion were then computed by ( [20]) αk = γ2…”

“…, N of the r.v. a k were generated from the complex exponentials model with p * = 5 components given by ξ = e −0.1−i2π0.3 , e −0.05−i2π0.28 , e −0.0001+i2π0.2 , e −0.0001+i2π0.21 , e −0.3−i2π0.35 c = [6, 3, 1, 1, 20] , n = 74, p = 37, σ = 0.5. with z = cos(1) + i0.8 was formed, its QR decomposition and the first 10 empirical momentsγ j were computed.Estimates of the first 10 coefficients of the Laguerre expansion were then computed by ([20]) k+h−j ),γ 0 = 1, h = 1, . .…”

“…3−i2π0.35 c =[6,3,1,1,20] , n = 74, p = 37, σ = 0.5. with z = cos(1) + i0.8 was formed, its QR decomposition and the first 10 empirical moments γj were computed.…”

Progressive censoring methodology: an appraisal

“…Uniform(0,1) random variables and, therefore, tends to normal N( 1 2 , 1 12(m−1) ), when m is large. While Sanjel and Balakrishnan (2007) discussed a Laguerre polynomial approximation, derived the exact null distribution of T . It should be mentioned that the test statistic T in (73) was suggested by Tiku (1980) for complete and usual Type-II censored samples and its power was examined empirically by Balakrishnan (1983).…”

Computational testing algorithmic procedure of assessment for lifetime performance index of products with one-parameter exponential distribution under progressive type I interval censoring

“…on data collection. Therefore, some incomplete data could be collected, such as progressive censoring data (see Balakrishnan and Aggarwala [3], Aggarwala [1], Hong et al [6], Wu et al [17], Wu et al [18], Sanjel and Balakrishnan [14], Lee et al [11], and Wu [16]). For step-stress accelerated life-testing data, Lee et al [10] assessed the lifetime performance index of exponential products In this paper, we consider the progressive type I interval censoring case.…”