### Probability theory

#### Chapter one - The basis of probability distribution simulator

#### Chapter two - The marginal probability distribution

Unit | Pages | |
---|---|---|

1 | The introdution. | 001~001 |

2 | The marginal probability distribution transformation. | 002~219 |

#### Chapter three - The two random variables joint probability distribution

#### Chapter four - The three or more random variables joint probability distribution

#### Chapter five - The Moment of random variables

Unit | Pages | |
---|---|---|

1 | The introdution. | 001~001 |

2 | The computation of moment | 002~074 |

3 | correlation coefficient | 075~102 |

4 | EE(X2|X1)=E(X2),EE(X3|X1,X2)=E(X3), | 103~125 |

5.1 | The sample number is random variable. N~Poisson(lamda=1) | 126~287 |

5.2 | The sample number is random variable. N~Binomial(n=10,p=0.8) | 288~357 |

6 | gamble---gambler ruin , collecting coupons and the discrete random variable parameter has a priority probability distribution. | 358~512 |

#### Chapter six - The limiting theory

#### Chapter seven - The order statistic

Unit | Pages | |
---|---|---|

1 | The introdution. | 001~001 |

2 | X1,…,Xn iid~f(x) | 001~001 |

2.1 | X1,…,X10 iid~U(alpha=-1,beta=1) | 002~064 |

2.2 | X1,…,X10 iid~Normal(mu=50,sigma*sigma=4) | 065~127 |

2.3 | X1,…,X10 iid~Shifted exponential(lamda=5,c=1) | 128~190 |

2.4 | X1,…,X10 iid~Pareto1 (lamda=5,c=1) | 191~216 |

2.5 | X1,…,X10 iid~Pareto2 (lamda=5,c=1) | 217~242 |

2.6 | X1,…,X10 iid~Rayleigh (lamda=5,c=0) | 243~269 |

2.7 | X1,…,X10 iid~DE (lamda=5,c=0) | 270~295 |

2.8 | X1,…,X10 iid~Log_normal (mu=1,sigma*sigma=0.25) | 296~321 |

2.9 | X1,…,X10 iid~Gamma (alpha=5,beta=2) | 322~347 |

2.10 | X1,…,X10 iid~Beta(alpha=5,beta=2) | 348~373 |

2.11 | X1,…,X10 iid~Cauchy (mu=0,sigma=1) | 374~379 |

2.12 | X1,…,X10 iid~Arcsin (mu=0,c=1) | 380~405 |

3 | Xi~f(xi),i=1,2,…,n, X1,X2,…,Xnare independent r.v.'s. | 406~457 |

4 | Xi~f(xi),i=1,2,…,n, X1,X2,…,Xnare dependent r.v.'s. | 458~496 |

#### Chapter - eight The probability model designed

Unit | Pages | |
---|---|---|

1 | The probability distribution from the mathematical equation. | 001~018 |

2 | The Durbin Watson test of the multiple regression. | 019~032 |

3 | moving average | 033~229 |

4 | moving standard deviation | 230~263 |

5 | The depepndeent random variables series. | 264~351 |

#### Chapter - nine Statistical test statistic and the critical value table

#### Chapter - ten The coefficient of random variable

Unit | Pages | |
---|---|---|

1 | The sample MAD | 001~016 |

2 | The sample skewed coefficient | 017~025 |

3 | The sample kurtosis coefficient. | 026~035 |

4 | The sample C.V.( coefficient of variation). | 036~089 |

5 | The sample correlation coefficient. | 090~110 |

#### Chapter eleven - The Bayesian analysis

### Applied Statistics

#### Chapter one - The descriptive statistics

Unit | Pages | |
---|---|---|

1.1 | The sample data set coefficient in directly. | 001~008 |

1.2 | The frequency distribution to analysis data set. | 001~008 |

#### Chapter two - One normal population analysis

Unit | Pages | |
---|---|---|

1 | The population mean analysis | 001~020 |

2 | The population variance analysis | 021~038 |

#### Chapter three - Two normal populations analysis

Unit | Pages | |
---|---|---|

1 | Two independent population means analysis | 001~058 |

2 | Two independent population variances analysis | 059~063 |

3 | Two dependent population means analysis | 064~078 |

#### Chapter four - experimental design

Unit | Pages | |
---|---|---|

1 | one way analysis | 001~121 |

2 | Two way analysis | 122~255 |

3 | Two way & duplication analysis | 256~515 |

4 | One way & repeated measures analysis | 516~526 |

5 | Latin square analysis | 527~561 |

6 | Three way analysis | 562~619 |

#### Chapter five - regression analysis

Unit | Pages | |
---|---|---|

1 | simple linear model | 001~133 |

2 | multiple regression analysis about two independent variables | 134~681 |

3 | multiple regression analysis | 682~1035 |