Kernals+and+Constant+of+Integration

Kernals and Constant of Integration (Distribution Theory) (GWU EMSE-271)
Index | Topics (Logical Lectures) | Lectures | Problems | Readings | References

Kernals and Constant of Integration (the thing it had to be divided by to sum or integrate to 1). Bernoulli doesn;'t, Binomial does.

Uniform is 1/(b-a).

Exponential distribution example ... Constant of integration is 1/lamda.

REDUCES MATHEMATICAL BURDEN.

What is the integral 0 to infinity of x to (a-1) e to (x/B) to the X dx. Which function matches. (weibull). Reduces to. Lets on determine identities easier???? CAN'T SEPARATE OUT X, REST MUST BE THE CONSTANT OF INTEGRATION. (1/CONSTANT OF INTREGATION) is integral of kenral from 0 to infinity.

Now example 12. Computes the values in like E[X] and V[X] in table.

Example 13, why does it not appear to be 1/over. Later, E[X] row 2.

Why use tables any more. Excel,. . . . Need to know tables for exams.

Normal. Gamma and Beta does not have a closed form CDF. Get around with ChiSquared and ...

With normal, make parameterless by dividing by standard deviation.


 * Sources:**
 * EMSE 271, Fall 2009 Slide 48 - 50)
 * EMSE 280, Spring 2009.