Important Functions and Their Features

Probability theory can be understood as a particular field in mathematics. Hence, it is only to be expected that it relies intensely on theory from analysis and algebra. For example, the fact that the cumulative probability over all values a random variable can assume has to be equal to one is not always feasible to check for without a profound knowledge of mathematics. Continuous probability distributions involve a good deal of analysis and the more sophisticated a distribution is, the more mathematics is necessary to handle it. Keywords: monotonic functions; continuous function; continuous; derivative; monotonically increasing; strictly monotonic increasing; A continuous function ; monotonically decreasing; strictly monotonic increasing; integral; integral; factorial; gamma function; beta function; Bessel function; NIG; characteristic function