What's the difference between probability and statistics?
Probability is a branch of pure mathematics--probability questions can be posed and solved using axiomatic reasoning, and therefore there is one correct answer to any probability question. …
What is the difference between "likelihood" and "probability"?
Mar 5, 2012 · The wikipedia page claims that likelihood and probability are distinct concepts. In non-technical parlance, "likelihood" is usually a synonym for "probability," but in statistical …
What's the difference between a probability and a proportion?
A probability is a hypothetical property. Proportions summarize observations. A frequentist might rely on laws of large numbers to justify statements like "the long-run proportion of an event [is] …
What should be taught first: Probability or Statistics?
Jun 20, 2016 · Is is theoretical, or applied statistics..? Much of the applied statistics can be thought without detailed introduction to probability. It could also be a nice apetizer for …
Bayesian vs frequentist Interpretations of Probability
The field of statistics concerns itself with a special branch of mathematics regarding probability. When interpreting probability there are primarily two competing paradigms: Bayesian and …
Looking for a good and complete probability and statistics book
How can a book on probability and statistics ever be complete? Even huge multi-volume tomes (Kendall and Stuart's .. etc's Advanced theory of Statistics in its latest incarnations, for …
Cross Validated
Q&A for people interested in statistics, machine learning, data analysis, data mining, and data visualization
What is the connection between measure theory and statistics?
Jan 12, 2025 · The short answer is, you do not need a rigorous understanding of probability theory to do statistics. The purpose of measure theory is to provide a foundation for probability …
Book recommendations for probability - Cross Validated
1 I wholeheartedly recommend Parzen's Modern Probability Theory and its Applications. This is a classic written by someone who has made enormous contributions to statistics, in e.g. non …
probability - What does conditioning on a random variable mean?
Mar 3, 2019 · Technically, it's worth noting that if we conditioning on the value of a continuous random variable (an event with probability zero) then there is an extended definition of the …