Mathematical statistics: 1. Basic concepts of mathematical statistics

Examination content

Simple Random Sample Statistical Empirical Distribution Function Sample Mean Sample Variance and Sample Moment Distribution Quantile Normal General Sampling Distribution

Examination requirements

1. Understand the concepts of population, simple random sample, statistics, sample mean, sample variance and sample moment, where sample variance is defined as

2. Understand variables, variables and typical patterns of variables; Understand the standard normal distribution, distribution, distribution and upper quantile of distribution, and look up the corresponding numerical table.

3. Grasp the sample mean, sample variance and sample moment distribution of normal population.

4. Understand the concept and properties of empirical distribution function.

Second, the parameter estimation

Examination content

Concept estimator and moment estimator of point estimation maximum likelihood estimation method

Examination requirements

1. Understand the concepts of point estimation, estimator and parameter estimation.

2. Master moment estimation methods (first-order moment, second-order moment) and maximum likelihood estimation methods.