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  2. Probability density function - Wikipedia

    en.wikipedia.org/wiki/Probability_density_function

    This probability is given by the integral of this variable's PDF over that range—that is, it is given by the area under the density function but above the horizontal axis and between the lowest and greatest values of the range. The probability density function is nonnegative everywhere, and the area under the entire curve is equal to 1.

  3. Kernel density estimation - Wikipedia

    en.wikipedia.org/wiki/Kernel_density_estimation

    Kernel density estimation of 100 normally distributed random numbers using different smoothing bandwidths.. In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method to estimate the probability density function of a random variable based on kernels as weights.

  4. Mark–Houwink equation - Wikipedia

    en.wikipedia.org/wiki/Mark–Houwink_equation

    which can be used to relate the molecular weight of any two polymers using their Mark-Houwink constants (i.e. "universally" applicable for calibration). For example, if narrow molar mass distribution standards are available for polystyrene, these can be used to construct a calibration curve (typically l o g M {\displaystyle logM} vs. retention ...

  5. Body mass index - Wikipedia

    en.wikipedia.org/wiki/Body_mass_index

    This is an accepted version of this page This is the latest accepted revision, reviewed on 12 February 2025. Relative weight based on mass and height Medical diagnostic method Body mass index (BMI) Chart showing body mass index (BMI) for a range of heights and weights in both metric and imperial. Colours indicate BMI categories defined by the World Health Organization ; underweight, normal ...

  6. Inverse distance weighting - Wikipedia

    en.wikipedia.org/wiki/Inverse_distance_weighting

    Inverse Distance Weighting as a sum of all weighting functions for each sample point. Each function has the value of one of the samples at its sample point and zero at every other sample point. Inverse distance weighting (IDW) is a type of deterministic method for multivariate interpolation with a known scattered set of points.

  7. Weibull distribution - Wikipedia

    en.wikipedia.org/wiki/Weibull_distribution

    Equating the sample quantities / ¯ to /, the moment estimate of the shape parameter can be read off either from a look up table or a graph of versus . A more accurate estimate of k ^ {\displaystyle {\hat {k}}} can be found using a root finding algorithm to solve

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  9. Discrete uniform distribution - Wikipedia

    en.wikipedia.org/wiki/Discrete_uniform_distribution

    The problem of estimating the maximum of a discrete uniform distribution on the integer interval [,] from a sample of k observations is commonly known as the German tank problem, following the practical application of this maximum estimation problem, during World War II, by Allied forces seeking to estimate German tank production.