The cumulative distribution functions for a dice roll and the weather in NYC are plotted below. This is also what "cumulative" means - you're simply adding up probabilities. You'll notice that in ...

→ The cumulative distribution function (cdf) of a continuous random variable X X is a function that describes the distribution of a continuous random variable in terms of cumulative probabilities.

The PMF function that we saw before works great for inspecting discrete random variables and calculating their expected values. However, we did see that when moving towards continuous random variables ...

This paper considers the problem of estimating the cumulative distribution function and probability density function of a random variable using data quantized by uniform and non-uniform quantizers. A ...

Let be a sequence of i.i.d. random variables with pdf and corresponding to the number of random variables i.i.d. random variables with survival function and the cumulative distribution function. For ...

A numerical method is presented for calculating the cumulative distribution of a positive random variable from its moment-generating function. It involves an expansion of the rectangular function in ...

Abstract Statisticians are usually concerned with the proposition of new distributions. In this paper we point out that a unified and concise derivation procedure of the distribution of the minimum or ...