Purchase Solution

Cumulative distribution function (same as 26793)

Not what you're looking for?

Ask Custom Question

A cdf Fx is stochastically greater than a cdf Fy if (1) Fx(t)<= Fy(t) for all t, and (2) there exists some t for which Fx(t) < Fy(t)

(a)show that if Fx is the cdf of X and Fy is the cdf of Y, then (1) P(X>t) >= P(Y>t) for all t and (2) P(X>t) > P(Y>t) for some t.(in other words, X tend to be bigger than Y) Give an example.

Purchase this Solution

Solution Preview


First, let us have some basic definitions:

The cumulative distribution function (cdf) is the probability that the variable takes a value less than or equal to x. That is

F(x) = Pr [ X <= x ] = alpha

For a continuous distribution, this can be expressed mathematically as

F(x) + Integral (from -inf. to x) [f(y)dy]
For a continuous function, the probability density ...

Purchase this Solution

Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.