In many engineering applications, it is often the case that observations are only available in interval form. this note, by using expectation-maximization (EM) algorithm, parameter estimation of Weibull distribution with interval-censored data considered. The estimates obtained EM algorithm compared those conventional Newton-type methods, including Davidon–Fletcher–Powell (DFP) and Berndt–Hall–...

BACKGROUND Most human demographic data, particularly those on natural fertility populations, find no relationship or even a positive association between fertility and longevity. The present study aims to ascertain whether there is a trade-off between fertility and longevity in the mouse model. METHODS The study was focused on the first litter produced by 10- to 14-wk-old hybrid (C57BL/6JIco f...

Dubois and Prade defined an interval-valued expectation of fuzzy numbers, viewing them as consonant random sets. Carlsson and Fullér defined an interval-valued mean value of fuzzy numbers, viewing them as possibility distributions. In this paper we shall introduce the notation of weighted interval-valued possibilistic mean value of fuzzy numbers and investigate its relationship to the interval-...

Abstract: In this paper, we obtain some preliminary results on stochastic control theory for time-varying linear systems both continuous and discrete, and further apply to aperiod sample-data linear systems. The Itö’s lemma is utilized in this proposed theory, and deduced that the stability of a linear time-varying system is determined by the eigenvalues expectation of system matrix, which coin...

The brain processes temporal statistics to predict future events and to categorize perceptual objects. These statistics, called expectancies, are found in music perception, and they span a variety of different features and time scales. Specifically, there is evidence that music perception involves strong expectancies regarding the distribution of a melodic interval, namely, the distance between...

As a result of studies the values technical characteristics self-propelled rod sprayers domestic and foreign models modifications, mass, power installed engine volume working fluid tank are analyzed. Their correlation dependence fields obtained. The theoretical empirical laws distribution series, mathematical expectation, standard deviation, coefficient variation, confidence interval average va...

Kuznetsov’s condition says that variables X and Y are independent when any product of bounded functions f X and g Y behaves in a certain way: the interval of expected values f X g Y must be equal to the interval product f X g Y . The main result of this paper shows how to compute lower expectations using Kuznetsov’s condition. We also generalize Kuznetsov’s condition to conditional expectation ...