Title :
Reliability Properties of Series and Parallel Systems under Equilibrium Distribution
Author :
Gupta, Nitin ; Gandotra, Neeraj ; Bajaj, R.K.
Author_Institution :
Jaypee Univ. of Inf. Technol., Waknaghat, India
Abstract :
Equilibrium distribution finds various applications in reliability, stochastic processes, repairable systems and many areas of applied probability such as renewal risk model etc. This paper deals with some of the reliability properties of reliability structures under equilibrium random variable(s). The likelihood ratio ordering for the series and parallel systems has been established under equilibrium. Further, the log-concavity properties of series and parallel systems having independently and identically distributed (i.i.d.) components under the condition of equilibrium have been studied.
Keywords :
probability; reliability theory; stochastic processes; equilibrium distribution; equilibrium random variable; likelihood ratio ordering; log-concavity properties; parallel systems; reliability properties; renewal risk model; repairable systems; series systems; stochastic processes; Aging; Hazards; Probability density function; Random variables; Reliability; Stochastic processes; Equilibrium distribution; Hazard rate; Likelihood ratio order; Log-concave; Series and Parallel system;
Conference_Titel :
Advances in Computing and Communications (ICACC), 2012 International Conference on
Conference_Location :
Cochin, Kerala
Print_ISBN :
978-1-4673-1911-9
DOI :
10.1109/ICACC.2012.47
