In many cases, we observe time series of discrete random variables with non-negative values, such as the number of customers or the number of insurance claims. The corresponding series of the first ...

This investigation was supported (in part) by the U.S. Public Health Service, National Institutes of Health, grant GM-10525. Note: The article usage is presented with a three- to four-day delay and ...

We walk here, we walk there, we walk everywhere. Maybe you’re headed to work or to lunch in a busy city. You’re expending energy, and the exercise is good for you. But what if, on top of that, we ...

ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...

Solar and wind accounted for almost 96% of new US electrical generating capacity added in the first third of 2025. In April, solar provided 87% of new capacity, making it the 20th consecutive month ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...

Abstract: This paper presents an analysis of the average bit error probability (ABEP) based on the moment generating function (MGF) over the Beaulieu-Xie fading ...