Re: Convolution Question: Are We Talking About The Same Thing?

2000-07-04 Thread William Chambers
--E3C0CED54969B0D3D4798656 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit David A. Heiser wrote: First Gautam Sethi used the term "convolution" for the product to two (uniform) densities. Aniko responded with a definition of convolution as the sum

Convolution Question: Are We Talking About The Same Thing?

2000-07-02 Thread David A. Heiser
First Gautam Sethi used the term "convolution" for the product to two (uniform) densities. Aniko responded with a definition of convolution as the sum of two random variables. Then Jan de Leeuw stated that "convolution is the distribution of the sum". Herman Rubin stated that "convolution is

Re: Convolution Question: Are We Talking About The Same Thing?

2000-07-02 Thread Jan de Leeuw
If random variable x has density f and random variable y has density g, then random variable t = x + y has density h(t) = {the integral from zero to t of} f(t-lambda) times g(lambda) d(lambda). (i.e. the density of the sum is the convolution of the densities) At 18:35 -0700 07/02/2000, David