Abstract: Safety instrumented system (SIS) is widely applied to reduce or prevent risk in industry. Practical SIS commonly meets with epistemic uncertainty arising from incompleteness of knowledge on ...

ABSTRACT: In order to introduce left and right truncated versions of the modified lognormal with a power-law distribution, we derive its probability density function, its distribution function, its ...

Maximum likelihood estimation is performed using a grid-restrained version of the Nelder-Mead algorithm, which is guarantee to converge to a stationary point. See the ...

In order to introduce a right truncated version of the Benini distribution, we derive its probability density function, its distribution function, its average value, its kth moment about the origin, ...

Abstract: This paper addresses point estimation of the failure rate parameter for a 1-parameter exponential distribution, based on random samples taken from a severely right-truncated distribution ...

The normal probability density function (PDF) is widely used in parameter estimation in the modeling of dynamic systems, assuming that the random variables are distributed at infinite intervals.

I would like to use a truncated Pareto prior for my Bayesian model, but I couldn't find a way to specify the truncation bounds as parameters of the distribution. As written in section 12.2.1 of the ...

In this paper, we present recurrence relations between the single and the product moments for order statistics from doubly truncated Makeham distribution. Characterizations for the Makeham ...