Stochastic Order Relations Among Parallel Systems from Weibull Distributions
نویسندگان
چکیده
منابع مشابه
Stochastic Order Relations Among Parallel Systems from Weibull Distributions
Let Xλ1 , Xλ2 , . . . , Xλn be independent Weibull random variables with Xλi ∼ W (α,λi) where λi > 0, for i = 1, . . . , n. Let X n:n denote the lifetime of the parallel system formed from Xλ1 , Xλ2 , . . . , Xλn . We investigate the effect of the changes in the scale parameters (λ1, . . . , λn) on the magnitude of X λ n:n according to reverse hazard rate and likelihood ratio orderings.
متن کاملNegative Weibull tail-distributions
We propose a new family of distributions referred to as Weibull taildistributions. This family is designed to model left tails with exponential behavior. The exponent can be estimated using inference procedures adapted from the Weibull tail-distributions literature. Let us define a negative Weibull tail-distribution through its distribution function by: F (x) = exp {
متن کاملShannon entropy in generalized order statistics from Pareto-type distributions
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized orderstatistics from Pareto-type and related distributions.
متن کاملRelations Among Parallel and Sequential Computation Models
This paper relates uniform small-depth circuit families as a parallel computation model with the complexity of polynomial time Turing machines. Among the consequences we obtain are: (a) a collapse of two circuit classes is equivalent to a relativizable collapse of the two corresponding polynomial time classes; and (b) a collapse of uniformity conditions for small depth circuits is equivalent to...
متن کاملHigher Order Moments and Recurrence Relations of Order Statistics from the Exponentiated Gamma Distribution
Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and /theta are presented. Recurrence relations between single and double moments of r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2015
ISSN: 0021-9002,1475-6072
DOI: 10.1017/s0001867800012222