“…, X n } in order statistics when X i 's follow, respectively, the Bernoulli and standard power distributions (Balakrishnan and Nevzorov 2003). Similarly, E(R) * = 1 1−(1−p) n , E(R) * = nβ nβ−1 , and E(R) * = √ πα 2 √ n in Theorems 3, 4, and 5, Pin et al (2002) Nuclear power plant maintenance Tidström (2004) Analysis of voting behavior Degan (2004) (Standard) Power Supply chain coordination Cachon (2002) Financial engineering van Dorp and Kotz (2002) Labor economics Barlevy (2003) Geometric Healthcare industry Carnahan et al (2006) Housing market Huang and Palmquist (2001) Quality control charts Ranjan et al (2003) (Standard) Pareto Automobile insurance Cohen (2003) Marketing Research Miller and Liu (2006) Satellite communications Jiang and Leung (2003) Rayleigh Budget forecasting Lee et al (1997) Image Processing Kuruoglu and Zerubia (2004) Solar energy engineering Moriarty et al (2002) respectively, if the probability distributions of the same family share a common parameter. These, too, coincide with the respective expected values of X (1) = Min{X 1 , X 2 , .…”