t](e) is a discrete random variable
for all t [member of] T and continuous-state if [X.
Define the vector b(l, [Delta]) corresponding to the discrete random variable
B(L, [Delta]) taking values [b.
In the case where X is a discrete random variable
, it can be easily seen that
Probability density function (pdf) A discrete pdf assigns a probability to each possible outcome of the discrete random variable
If the set of values that X takes is at most countable, then X is a discrete random variable
, if it is an interval in [?
He covers the basics of probability, counting problems, conditional probability and independence, expected value and variance, discrete random variables
, and a wide variety of other related subjects over the course of the bookAEs eight chapters and three appendices.
Among the topics are discrete random variables
and probability distributions, joint probability distributions and random samples, tests of hypotheses based on a single sample, simple linear regression and correlation, and distribution-free procedures.
The text begins with sets and functions, then covers combinatorics, probability, conditional probability, discrete random variables
, and densities.
n)n [greater than or equal to]1] be a sequence of discrete random variables
supported by N, with associated probability generating functions [p.