Ratio distribution: Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Chi-Square Distribution, Statistical Hypothesis Testing - Softcover

 
9786130345327: Ratio distribution: Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Chi-Square Distribution, Statistical Hypothesis Testing

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Cauchy distribution is an example of a ratio distribution. The random variable associated with this distribution comes about as the ratio of two Gaussian (normal) distributed variables with zero mean. Thus the Cauchy distribution is also called the normal ratio distribution. A number of researchers have considered more general ratio distributions. Two distribution often used in test-statistics, the t-distribution and the F-distribution, are also ratio distributions: The t-distributed random variable is the ratio of a Gaussian random variable divided by an independent chi-distributed random variable (i.e., the square root of a chi-square distribution), while the F-distributed random variable is the ratio of two independent chi-square distributed random variables.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Cauchy distribution is an example of a ratio distribution. The random variable associated with this distribution comes about as the ratio of two Gaussian (normal) distributed variables with zero mean. Thus the Cauchy distribution is also called the normal ratio distribution. A number of researchers have considered more general ratio distributions. Two distribution often used in test-statistics, the t-distribution and the F-distribution, are also ratio distributions: The t-distributed random variable is the ratio of a Gaussian random variable divided by an independent chi-distributed random variable (i.e., the square root of a chi-square distribution), while the F-distributed random variable is the ratio of two independent chi-square distributed random variables.

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