Preface
This blog is a "MA students - Probability and Mathematical Statistics" question and answer summary form.
Article Directory
First, the basic concepts of probability theory
- Probability theory originated in what phenomenon that What are the characteristics? , Section 1
- Describe gamblers events, controversy, and the characters involved, and finally how to solve , Section 2- Section 3
- The probability of several universities to send their own views, their views of their strengths and weaknesses?
- What classical determine the probability of principle, which involves the character? Summary 3
- What is the sample space? What is the sample point? What is the event? What is the occurrence of an event? , Section 5,6,7
- What is the probability of axiomatic three axioms? What is the core idea of the probability of axiomatic? , Section 1, 2
- Why is the definition of the probability function of probability theory can be made to remain neutral between the major factions? , Section 3
- Unlikely event occurs with probability 0.5, in line with common sense, but also the probability theory in the strict mathematical reasoning
- Inclusion and exclusion? , Section 8
- What is important is the classical hypothesis? How axiomatic definition of probability probability , section 1
- Multiplication principle try to explain the probability of selecting a route through the speaking order, select the addition principle speaking , section 4, 5
- When the test instructions from the classical point of view to calculate the probability, the importance of selecting the sample space , section 8
- We are familiar with the conditional probability formula is realistic Kolmogorov formal definition, but not the only definition, do not represent the truth , Section 2
- Similarity conditional probability and probability formula, where differences in . Summary 2,4
- What are the basic fallacy than that? Cite two examples , sections 1 and 2
- How basic than that - the diagnosis rate, prior probabilities - posterior probability, Bayes - Bayesian total probability formula to understand the principles of due Su fruit three aspects , the section 3,8
- Explain what the gambler's fallacy is wrong with it? , Section 3
- What multi-event independent of that? Polo Mayo ring illustrates the multi-event independent of anything? , Section 4, 5