## An Introduction to Mathematical Statistics and Its Applications, Volume 1For courses in Mathematical Statistics. Renowned for its high-quality, real-world case studies and examples, this highly structured text is designed to allow students with an established mathematics background to pursue a more rigorous, advanced treatment of probability and statistics. It shows HOW to use statistical methods, WHEN to use them, and reinforces the calculus that students have covered in previous courses. *Cover pages include a chart of densities, moments, and moment generating functions. *Additional simulations and Monte Carlo studies. *Minitab sections - At the end of chapters. *Delineates how one experimental design differs from another and the statistical consequences of those differences. *A complete Solutions Manual in response to user demand. *Uses case studies and practical worked-out examples to motivate statistical reasoning and demonstrate the application of statistical methods to a wide variety of real-world situations. |

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Introduction to Mathematical Statistics and Its Applications (5th Edition)

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Very useful introduction to statistics at a university level of mathematics. I found the explanations well written and clear. The host of examples are also very useful in promoting understanding of the concepts.

### Contents

PROBABILITY | 20 |

RANDOM VARIABLES | 119 |

A 1 MINITAB Applications | 243 |

Copyright | |

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### Other editions - View all

An Introduction to Mathematical Statistics and Its Applications Richard J. Larsen,Morris L. Marx No preview available - 2011 |

An Introduction to Mathematical Statistics and Its Applications, Volume 1 Richard J. Larsen,Morris L. Marx No preview available - 2006 |

### Common terms and phrases

approximate Assume average binomial random variable calculated chance Chapter chi-square chi-square distribution column confidence interval continuous random variable curve decision rule defined Definition degrees of freedom denote the number discrete random variables drawn end MTB equal Equation error event EXAMPLE expected value exponential F distribution Figure Find formula fY(y fY{y fz(z given hypothesis test integral joint pdf Let the random level of significance linear measurements method of moments MINITAB moment-generating function normal distribution null hypothesis observations occurs outcomes P-value parameter Percentiles Poisson Poisson distribution probability function problem Proof px(k Question random sample ratio recall red chips reject H0 sample space scores Section sequence shows SSTR standard deviation standard normal Student Study Suppose test H0 test statistic Theorem tion tossed total number treatment levels trials two-sample Type II error uniform pdf Var(W Var(y versus white chips