Estimation in the 2-parameter exponential distribution with prior information

Improved Classes of Scale Parameter towards an Interval of Exponential Distribution

“…Some contributors are Pandey and Singh (1983), Singh, Saxena and Mathur (2001), Singh and Saxena (2003), Singh and Chander (2008a) in which they made an exertion to estimate θ by shrinkage towards an interval (θ 1 , θ 2 ) such that θ 1 < θ < θ 2 , while Mehta and Srinivasan (1971), Pandey and Singh (1977), Pandey (1979), Ghosh and Razampour (1982), Jani (1991), Singh et al (1993), Kourouklis (1994), Singh and Raghuvanshi (1996), Upadhyaya, Gangele and Singh (1997), , Saxena (2004Saxena ( , 2006, Saxena and Singh (2004), Singh and Chander (2008b, c, d, e;2009) have considered the problem of shrinkage towards a point as well as interval estimation. Downloaded by [Simon Fraser University] at 05:39 20 November 2014 Pandey and Srivastava (1985) suggested a shrinkage estimator for θ when point prior information say θ 0 of θ is available, and is given as…”

Some Alternative Classes of Shrinkage Estimators for a Scale Parameter of the Exponential Distribution

“…The class of estimatorsθ (p) andμ (p) are due to Kourouklis (1994). T1 T3 T4 T5 T6 T7 T8 T9 T10 T11 T12 3 1.00 T1 T3 T4 T5 T6 T7 T8 T9 T10 T11 T12 3 1.00 T1 T3 T4 T5 T6 T7 T8 T9 T10 T11 T12 3 1.00 …”

Improved Estimation of Inverse Gaussian Shape Parameter and Measure of Dispersion with Prior Information

“…We call 0 α λ as the experimenter's prior guess, for instance, see Thompson (1968), Mehta and Srinivasan (1971), Ebrahimi and Hosmane (1987), Jani (1991), Kourouklis (1994), Singh and Shukla (2000), Saxena (2001, 2002) and Saxena and Singh (2004). In this paper we have suggested a class of estimators of the general parameter α λ when prior point estimate 0 α λ of α λ is available and its properties are analysed.…”