منابع مشابه
Maximum Likelihood Estimation for Distributions with Monotone Failure Rate
using the idea of maximum likelihood, we derive an estimator for a distribution function possessing an increasing (decreasing) failure rate and also obtain corresponding estimators for the density and the failure rate. We show that these estimators are consistent.
متن کاملLikelihood Ratio Tests for Monotone Functions
Ve study the problem of testing for equality at a fixed point in the setting of nonparametric estimation of a monotone function. The likelihood ratio test for this hypothesis is derived in the particular case of interval censoring (or current status data) and its limiting distribution is obtained. The limiting distribution is that of the integral of the difference of the squared slope processes...
متن کاملTesting for Monotone Increasing Hazard Rate
A test of the null hypothesis that a hazard rate is monotone nondecreasing, versus the alternative that it is not, is proposed. Both the test statistic and the means of calibrating it are new. Unlike previous approaches, neither is based on the assumption that the null distribution is exponential. Instead, empirical information is used to effectively identify and eliminate from further consider...
متن کاملMonotone and near-monotone network structure (part II)
We next describe recent work on monotone input/output systems (“MIOS” from now on). Monotone i/o systems originated in the analysis of mitogen-activated protein kinase cascades and other cell signaling networks, but later proved useful in the study of a broad variety of other biological models. Their surprising breath of applicability notwithstanding, of course MIOS constitute a restricted clas...
متن کاملSome invariance properties of monotone failure rate in the M/G/1 queue
We show that in the stationary M/G/1 queue, if the service time distribution is with increasing (decreasing) failure rate (IFR (DFR)), then (a) The distribution of the number of customers in the system is also IFR (DFR), (b) The conditional distribution of the remaining service time given the number of customers in the system is also IFR (DFR) and (c) The conditional distribution of the remaini...
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: The Annals of Mathematical Statistics
سال: 1969
ISSN: 0003-4851
DOI: 10.1214/aoms/1177697500