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  2. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The shifted Gompertz distribution The type-2 Gumbel distribution The Weibull distribution or Rosin Rammler distribution, of which the exponential distribution is a special case, is used to model the lifetime of technical devices and is used to describe the particle size distribution of particles generated by grinding, milling and crushing ...

  3. Bell-shaped function - Wikipedia

    en.wikipedia.org/wiki/Bell-shaped_function

    The Gaussian function is the archetypal example of a bell shaped function. A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve. These functions are typically continuous or smooth, asymptotically approach zero for large negative/positive x, and have a single, unimodal maximum at ...

  4. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    In the bottom-right graph, smoothed profiles of the previous graphs are rescaled, superimposed and compared with a normal distribution (black curve). Main article: Central limit theorem The central limit theorem states that under certain (fairly common) conditions, the sum of many random variables will have an approximately normal distribution.

  5. Gaussian function - Wikipedia

    en.wikipedia.org/wiki/Gaussian_function

    The graph of a Gaussian is a characteristic symmetric "bell curve" shape. The parameter a is the height of the curve's peak, b is the position of the center of the peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell".

  6. Hubbert peak theory - Wikipedia

    en.wikipedia.org/wiki/Hubbert_peak_theory

    The standard Hubbert curve.For applications, the x and y scales are replaced by time and production scales. U.S. Oil Production and Imports 1910 to 2012. In 1956, Hubbert proposed that fossil fuel production in a given region over time would follow a roughly bell-shaped curve without giving a precise formula; he later used the Hubbert curve, the derivative of the logistic curve, [6] [7] for ...

  7. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    Bathtub curve; Bell curve; Calibration curve; Curve of growth (astronomy) Fletcher–Munson curve; Galaxy rotation curve; Gompertz curve; Growth curve (statistics) Kruithof curve; Light curve; Logistic curve; Paschen curve; Robinson–Dadson curves; Stress–strain curve; Space-filling curve

  8. Shape of a probability distribution - Wikipedia

    en.wikipedia.org/wiki/Shape_of_a_probability...

    The shape of a distribution will fall somewhere in a continuum where a flat distribution might be considered central and where types of departure from this include: mounded (or unimodal), U-shaped, J-shaped, reverse-J shaped and multi-modal. [1]

  9. Probability distribution fitting - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution...

    When the larger values tend to be farther away from the mean than the smaller values, one has a skew distribution to the right (i.e. there is positive skewness), one may for example select the log-normal distribution (i.e. the log values of the data are normally distributed), the log-logistic distribution (i.e. the log values of the data follow ...

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    right shifted bell curve example questions and solutions printable pdf