Package: StressCensoR 0.1.0

StressCensoR: Generalized Stress-Strength Reliability Estimation Under Censoring Schemes

Generalized framework for data generation, Maximum Likelihood Estimation, and Bayesian estimation of stress-strength reliability R = P(Y < X) for arbitrary continuous distributions under censoring schemes based on Chapter 9 of 'Balakrishnan', 'Cramer', and 'Kundu' (2023) <ISBN:978-0-12-398387-9>. Users provide probability density functions, cumulative distribution functions, survival functions, support bounds, parameter ranges, and sample sizes. Implements data generation under Type-I, Type-II, progressive Type-II, Type-I hybrid, Type-II hybrid, generalized hybrid, progressive hybrid, joint, block random, middle, and truncation censoring schemes, accompanied by diagnostic histograms, dot plots, and autocorrelation plots. Maximum Likelihood Estimation supports optimization routines including 'Newton-Raphson', 'Broyden'-'Fletcher'-'Goldfarb'-'Shanno' ('BFGS'), 'BFGS' in R ('BFGSR'), 'Berndt'-'Hall'-'Hall'-'Hausman' ('BHHH'), Simulated Annealing ('SANN'), Conjugate Gradients ('CG'), and 'Nelder'-'Mead' ('NM'), returning summaries ('AIC', 'coef', 'logLik', 'nIter', 'stdEr', summary, 'vcov'). Bayesian estimation of stress-strength reliability R = P(Y < X) is performed via Gibbs sampling, Metropolis-Hastings algorithm, Importance Sampling, and 'Lindley' approximation (1980). Methods and censoring schemes are described in 'Balakrishnan', 'Cramer', and 'Kundu' (2023, ISBN:978-0-12-398387-9), 'Lindley' (1980) <doi:10.1111/j.2517-6161.1980.tb01102.x>, 'Geweke' (1989) <doi:10.2307/2290062>, 'Metropolis' (1953) <doi:10.1063/1.1699114>, 'Hastings' (1970) <doi:10.1093/biomet/57.1.97>, 'Geman' and 'Geman' (1984) <doi:10.1109/TPAMI.1984.4767596>, 'Kundu' and 'Gupta' (2005) <doi:10.1016/j.jspi.2004.09.006>, 'Kundu' and 'Gupta' (2006) <doi:10.1016/j.csda.2005.02.007>, 'Berndt', 'Hall', 'Hall', and 'Hausman' (1974) <doi:10.3386/t0003>, 'Fletcher' (1987, ISBN:978-0-471-91547-8), and 'Nelder' and 'Mead' (1965) <doi:10.1093/comjnl/7.4.308>.

Authors:Shikhar Tyagi [aut, cre], Arvind Pandey [aut], Bhupendra Singh [aut], Vrijesh Tripathi [aut]