Introduction to Probability Theory

By Tai L. Chow. Introduction to Probability Models, 2018

338 citations recorded by the source corpus.

The field of “probability theory” is a branch of mathematics that is concerned with describing the likelihood of different outcomes from uncertain processes. Probability theory is the cornerstone of the field of Statistics, which is concerned with assessing the uncertainty of inferences drawn from random samples of data. Thus, we need to understand basics of probability theory to comprehend some of the basic principles used in inferential statistics. Before defining what the word “probability” means, I will introduce some terminology to motivate the need for thinking probabilistically.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cbd9391d8f671b593caa925713ae674cc817ea3a

Citations in the corpus

• Vertical movement of weed seed surrogates by tillage implements and natural processes (2006, neutral): “The beta distribution has the form Pða; bÞ ¼ G ða1 þ a2Þ G ða1ÞG ða2Þ Zb a xða1 1Þð1 xÞða2 1Þ dx; 0 x 1 where P is the probability of a bead moving to a soil layer between depths a and b (rescaled), G is the gamma function, and a1 and a2 are fitted parameters (Hoel et al., 1971, p. 148).”