The geometric process is sometimes appropriate for reliability and scheduling problems. Some previous studies suggested a possible alternative that alpha-series as to the when it decreases with time, decreasing shows expected number of events at an arbitrary time does not exist. In contrast, (ASP) exists under some conditions. this paper, we assumed first arrival followed Rayleigh distribution ...

In this lecture we introduce hyperbolic and real stable polynomials as natural generalization of real-rootedness to multivariate polynomials. Then, we define strongly Rayleigh distributions as probability distribution whose generating function is a real stable polynomial. We will see that this is a generalization of random spanning tree distributions and determinantal distributions. We will fin...

Real radar data containing a small manoeuvring boat in sea clutter was processed using a grid based finite difference implementation of continuous-discrete filtering. An examination was undertaken to determine the appropriate dynamic, target amplitude and clutter amplitude models which should be utilized to allow the successful application of Track Before Detect techniques (TkBD). Both two dime...

Abstract: A generalized version of four parameter modified inverse weibull distribution (MIWD) is introduced in this paper. This distribution generalizes the following distributions: (1) Modified Inverse exponential distribution, (2) Modified Inverse Rayleigh distribution, (3) Inverse weibull distribution. We provide a comprehensive description of the mathematical properties of the modified inv...