Bayesian one-sample prediction of future observations under Pareto distribution

One-Sample Bayesian Predictive Interval of Future Ordered Observations for the Pareto Distribution

“…Applying the identity given in Lingappaiah (1981) (or Nigm et al, 2003, which can be proved by induction,…”

“…The first case is when the scale parameter c is known and the second case is when both the shape parameter a and scale parameter c are unknown. Moreover, in Section 3, we also give numerical examples to calculate the Bayesian predictive intervals and compare the lengths of these Bayesian predictive intervals by using the method of Nigm et al (2003) and our proposed method. Finally, some conclusions are made in Section 4.…”

“…Bayesian prediction bounds based on type I censoring from a finite mixture of Lomax components were obtained by AL-Hussaini et al (2001). Nigm et al (2003) obtained Bayesian predictive bounds based on right type II censored sample Y (1) < Y (2) < · · · < Y (r) from the ParII (c, a) distribution.…”

Two sample Bayes prediction scenario under right censored repairable system

“…A data set of 10, 000 random samples has been drawn from the considered model for a different set of parametric values. The considered value of the sample size n is 15 with censored sample size k (= 4, 8, 12) with numerical values of the parameter θ(= 4,6,8). The constant v is considered to be fixed at unity.…”

“…Few of those who have been extensively studied recently about the predictive inference for the future observations are Raqab & Madi [9], Nigm et al [6], Sarhan & Tadj [10], Ahmad et al [1] and Prakash & Singh [8].…”