cauchy distribution वाक्य
उदाहरण वाक्य
मोबाइल
- For example, the standard deviation of a random variable that follows a Cauchy distribution is undefined because its expected value " ? " is undefined.
- However, due to the fat tails of the Cauchy distribution, the efficiency of the estimator decreases as more of the sample gets used in the estimate.
- Stable distributions have 0 < ? d " 2, with the upper bound corresponding to the normal distribution, and ? = 1 to the Cauchy distribution.
- Where \ gamma is the scale factor and \ mu is the peak position of the " unwrapped " distribution . characteristic function of the Cauchy distribution yields:
- An infinitesimal formula for an infinitely tall, unit impulse delta function ( infinitesimal version of Cauchy distribution ) explicitly appears in an 1827 text of Augustin Louis Cauchy.
- Since the normal distribution, the Cauchy distribution, and the L�vy distribution all have the above property, it follows that they are special cases of stable distributions.
- The Cauchy distribution is often used in statistics as the canonical example of a " moments of order greater than or equal to one; only fractional absolute moments exist.
- Note also that this implies that the Pearson type VII distribution subsumes the standard Student's " t "-distribution and also the standard Cauchy distribution.
- Clearly, the normal distribution is stable, but there are also other stable distributions, such as the Cauchy distribution, for which the mean or variance are not defined.
- McCullagh also wrote, " The distribution of the first exit point from the upper half-plane of a circular Cauchy distribution-- > " circular Cauchy distribution ".
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