in this paper, we introduce hybrid of block-pulse functions and bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. then, we utilize them to solvedelay differential equations and time-delay system. the method is based upon ex...

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...

We provide an equilibrium asset pricing formula under moral hazard on the assumption of a power utility function and an endogenous riskless rate. Moral hazard is defined here as a firm’s change of measure that is incontractible. We show explicitly in closed form that moral hazard distorts asset prices by (1) moving the market price of diffusive risk in the opposite direction to an investor’s ma...

The development of life time analysis started back in the $20^{textit{th}}$ century and since then comprehensive developments have been made to model life time data efficiently. Recent development in measurements shows that all continuous measurements can not be measured as precise numbers but they are more or less fuzzy. Life time is also a continuous phenomenon, and has already been shown tha...

A new parametric (3-parameter) survival distribution, the lognormal-power function distribution, with flexible behaviour is introduced. Its hazard rate function can be either unimodal, monotonically decreasing or can exhibit a bathtub shape. Special cases include the lognormal distribution and the power function distribution, with finite support. Regions of parameter space where the various for...

Reversed hazard rate (RHR) is a useful tool in the area of maintenance management, particularly for condition monitoring. Its typical behaviour makes it suitable for the assessment of waiting time and hidden failures. Nature of reversed hazard rate is therefore, analytically and numerically investigated, for the standard distributions and presented in this paper. It is shown that RHR is a decre...

This paper investigates the demand elasticity of search. We provide a new characterization of monotone hazard rate and of the first-order condition determining the optimal reservation price, and prove that the demand for information is elastic if the hazard rate function h for the distribution of offers is decreasing and inelastic if h is increasing.  2000 Elsevier Science S.A. All rights rese...

Change-point hazard rate models arise, for example, in applying \burn-in" techniques to screen defective items and in studying times until undesirable side eeects occur in clinical trials. The classical approach develops estimates of model parameters, with particular interest in the threshold or change-point parameter, but exclusively in terms of asymptotic properties. Such asymptotics can be p...