When.com Web Search

Search results

  1. Results From The WOW.Com Content Network
  2. Log-normal distribution - Wikipedia

    en.wikipedia.org/wiki/Log-normal_distribution

    A probability distribution is not uniquely determined by the moments E[X n] = e nμ + ⁠ 1 / 2 ⁠ n 2 σ 2 for n ≥ 1. That is, there exist other distributions with the same set of moments. [4] In fact, there is a whole family of distributions with the same moments as the log-normal distribution. [citation needed]

  3. Log probability - Wikipedia

    en.wikipedia.org/wiki/Log_probability

    (The conversion to log form is expensive, but is only incurred once.) Multiplication arises from calculating the probability that multiple independent events occur: the probability that all independent events of interest occur is the product of all these events' probabilities.

  4. Logarithmic distribution - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_distribution

    In other words, if N is a random variable with a Poisson distribution, and X i, i = 1, 2, 3, ... is an infinite sequence of independent identically distributed random variables each having a Log(p) distribution, then

  5. Gaussian logarithm - Wikipedia

    en.wikipedia.org/wiki/Gaussian_logarithm

    In mathematics, addition and subtraction logarithms or Gaussian logarithms can be utilized to find the logarithms of the sum and difference of a pair of values whose logarithms are known, without knowing the values themselves. [1] Their mathematical foundations trace back to Zecchini Leonelli [2] [3] and Carl Friedrich Gauss [4] [1] [5] in the ...

  6. Reciprocal distribution - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_distribution

    Here, and are the parameters of the distribution, which are the lower and upper bounds of the support, and is the natural log. The cumulative distribution function is F ( x ; a , b ) = ln ⁡ ( x ) − ln ⁡ ( a ) ln ⁡ ( b ) − ln ⁡ ( a ) for a ≤ x ≤ b . {\displaystyle F(x;a,b)={\frac {\ln(x)-\ln(a)}{\ln(b)-\ln(a)}}\quad {\text{ for ...

  7. Prime-counting function - Wikipedia

    en.wikipedia.org/wiki/Prime-counting_function

    Of great interest in number theory is the growth rate of the prime-counting function. [3] [4] It was conjectured in the end of the 18th century by Gauss and by Legendre to be approximately ⁡ where log is the natural logarithm, in the sense that / ⁡ =

  8. Natural logarithm - Wikipedia

    en.wikipedia.org/wiki/Natural_logarithm

    The natural logarithm of e itself, ln e, is 1, because e 1 = e, while the natural logarithm of 1 is 0, since e 0 = 1. The natural logarithm can be defined for any positive real number a as the area under the curve y = 1/x from 1 to a [4] (with the area being negative when 0 < a < 1). The simplicity of this definition, which is matched in many ...

  9. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    All these extensions are also called normal or Gaussian laws, so a certain ambiguity in names exists. The multivariate normal distribution describes the Gaussian law in the k-dimensional Euclidean space. A vector X ∈ R k is multivariate-normally distributed if any linear combination of its components Σ k j=1 a j X j has a (univariate) normal ...