# Welcome to AptMath Computer Programming and Statistical Analysis AptMath(TM), AptMath(SM)

Hello! Do you know what pseudorandom numbers are? Pseudorandom numbers are often used instead of actual random numbers in many computerized statistical simulation methods (Monte Carlo methods). Consequently, pseudorandom number generators (prngs) are vital tools in such methods. Monte Carlo methods have been found to be very useful in a variety of situations. Pseudorandom number generators have other uses in addition to Monte Carlo methods.

However, not all algorithms for pseudorandom number generation from a specific random distribution are equally suitable for a given purpose. For example, some pseudorandom number generators perform much better than others on certain statistical tests of randomness, and some generators produce numbers much faster than others.

Pseudorandom number generators for the discrete uniform random number distribution have a special role in many simulations. Pseudorandom variates from the discrete uniform random number distribution are used in various techniques to simulate random numbers from a very wide variety of other statistical random number distributions; a few examples are the continuous uniform, normal, Student's t, chi-squared, F, Poisson, binomial, negative binomial, beta, gamma, exponential, and Weibull distributions.

## ABOUT AptMath:

AptMathTM is an abbreviation for Apt MathematicsTM.  AptMath also is an abbreviation for the trade name AptMath Computer Programming and Statistical Analysis. The current email address of AptMath is

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### INTERESTS:

Implementing high-quality, useful, mathematical and statistical models and algorithms.

The author of this web page has also found the promise to be true in his life that Jesus Christ spoke "Come to me all who are who are weary and are heavy-laden, and I will give you rest. Take my yoke upon you, and learn from Me, for I am gentle and humble in heart; and you shall find rest for your souls. For My yoke is easy, and My load is light" (The Bible, Matthew 11:28-30). All are encouraged to "... Believe in the Lord Jesus Christ and you shall be saved ..." (The Bible, Acts 16:31). According to the Bible, what are Christ's credentials? He was killed and raised from the dead; the Bible claims this was witnessed by more than 500 people (The Bible, I Corinthians 15). How easy is it for 500 people to agree on anything?

## FEEDBACK & COMMENTS:

Comments or questions regarding any material on this page may be sent to the email address previously listed on this page for AptMath.

This page was last revised January 16, 2023. AptMath is a trademark, service mark, and trade name; Apt Mathematics is a trademark. This page is http://www.aptmath.com. Copyright © 1997-2000, 2002-2003, 2008, 2023 AptMath Computer Programming and Statistical Analysis. All rights reserved.