Reliability inference with extended sequential order statistics
نویسندگان
چکیده
In this article, we will address the complexity of non-identical components in multi-component systems. Most technical systems can be described as such since either component types or functions within system vary amongst components. While most reliability related work resorts to assumption homogeneous components, aim often more realistic heterogeneous extending model Extended Sequential Order Statistics by two inferential methods. Firstly, derivation Maximum Likelihood Estimates including a simulation study demonstrating their good performance for large enough sample size. Secondly, introduce likelihood ratio test whether assumed identical accompanied power study. Both methods are powerful tools contexts. The former increases our understanding behaviour, especially upon failure other This knowledge empowers operators make better decisions regarding maintenance schedules and time prediction. latter supports quest identifying equivalence. Therefore, both used achieve meaningful results real life applications.
منابع مشابه
Inferences for Extended Generalized Exponential Distribution based on Order Statistics
‎Recently‎, ‎a new distribution‎, ‎named as extended generalized exponential distribution‎, ‎has been introduced by Kundu and Gupta (2011). ‎In this paper‎, ‎we consider the extended generalized exponential distribution with known shape parameters α and β. ‎At first‎, ‎the exact expressions for marginal and product moments of o...
متن کاملSoftware Reliability Modeling and Exponential Order Statistics
Properties of software failure times modelled as realizations of order statistics generated by independent but non-identically distributed exponential random variables are developed. Edgeworth and saddle point approximations to central order statistic densities so generated are developed using an exact integral representation of these densities. A comparison of Edgeworth and saddle point approx...
متن کاملEstimation with Sequential Order Statistics from Exponential Distributions
The lifetime of an ordinary k-out-of-n system is described by the (n − k + 1)st order statistic from an iid sample. This set-up is based on the assumption that the failure of any component does not affect the remaining ones. Since this is possibly not fulfilled in technical systems, sequential order statistics have been proposed to model a change of the residual lifetime distribution after the ...
متن کاملOrder-Restricted Inference with Linear Rank Statistics in Microarray Data
The classification of subjects with unknown distribution in a small sample size often involves order-restricted constraints in multivariate parameter setups. Those problems make the optimality of a conventional likelihood ratio based statistical inferences not feasible. Fortunately, Roy (1953) introduced union-intersection principle(UIP) which provides an alternative avenue. Multivariate linear...
متن کاملA TRUST-REGION SEQUENTIAL QUADRATIC PROGRAMMING WITH NEW SIMPLE FILTER AS AN EFFICIENT AND ROBUST FIRST-ORDER RELIABILITY METHOD
The real-world applications addressing the nonlinear functions of multiple variables could be implicitly assessed through structural reliability analysis. This study establishes an efficient algorithm for resolving highly nonlinear structural reliability problems. To this end, first a numerical nonlinear optimization algorithm with a new simple filter is defined to locate and estimate the most ...
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: Applied Stochastic Models in Business and Industry
سال: 2023
ISSN: ['1526-4025', '1524-1904']
DOI: https://doi.org/10.1002/asmb.2764