Toke Jayachandran

A Comparison of Reliability Growth Models

A reliability growth model is an analytic tool that accounts for changes in reliability due to design modifications and other corrective actions taken during the develpment, production, and use of a new piece of equipment. This paper describes a simulation study, and its conclusions, comparing four general reliability growth models that have been proposed in the reliability literature. Details of the simulation results are available in a separate Supplement.

Tables for a new multivariate goodness-of-fit test

We present tables of critical values for a new multivariate goodness-of-fit test introduced by Foutz. Some details of our improved asymptotic approximation and evaluation of its accuracy are given. An example showing the application of the method is given.

On the Distribution of a Difference of Two Scaled Chi-Square Random Variables

by tending to make the animals remain in the protected area, the number of surviving animals is increased from 263 to 784. It can be noted that since the death rate, is between P21 and P31, i.e. 0.1 < death rate, <0.5 and the birth rate is bounded by M22 and M33, i.e. birth rate equals 0.1, extinction is inevitable. Any efforts to reduce the death rate or to increase the birth rate would change the transition matrix. Further reduction in death rates may be feasible by increased enforcement or patrols, increased hunting license fees, etc. By way of further example, another transition matrix P could be defined as P = .5 .2 .3

Amenable transformation semigroups

For any set X denote by m ( X ) the Banach space of all bounded real-valued functions on X , equipped with the supremum norm, and denote by ( X ) the semigroup (under functional composition) of all transformations of X , i.e. mappings with domain X and range contained in X . A pair ( X, S ), where S is a subsernigroup of ( X ), will be called a transformation semigroup. Important examples are obtained by letting X be the underlying set in an abstract semigroup and considering the pairs ( X, S 1 ) and ( X , S 2 ), where S 1 [Sn] denotes the set of left [right] multiplication mappings of X . We shall call transformation semigroups in these classes of examples l-[r-] semigroups.