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    Fitting an Exponential Distribution

    Source: Journal of Applied Meteorology:;2005:;volume( 044 ):;issue: 010::page 1620
    Author:
    Fraile, Roberto
    ,
    García-Ortega, Eduardo
    DOI: 10.1175/JAM2271.1
    Publisher: American Meteorological Society
    Abstract: Exponential distributions of the type N = N0 exp(??t) occur with a high frequency in a wide range of scientific disciplines. This paper argues against a widely spread method for calculating the ? parameter in this distribution. When the ln function is applied to both members, the equation of a straight line in t is obtained, which may be fit by means of linear regression. However, the paper illustrates that this is equivalent to a least squares fit with a weight function that assigns more importance to the higher values of t. It is argued that the method of maximum likelihood should be applied, because it takes into account all of the data equally. An iterative method for determining ? is proposed, based on the method of moments for cases in which only a truncated distribution is available.
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      Fitting an Exponential Distribution

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    contributor authorFraile, Roberto
    contributor authorGarcía-Ortega, Eduardo
    date accessioned2017-06-09T16:47:36Z
    date available2017-06-09T16:47:36Z
    date copyright2005/10/01
    date issued2005
    identifier issn0894-8763
    identifier otherams-74206.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4216406
    description abstractExponential distributions of the type N = N0 exp(??t) occur with a high frequency in a wide range of scientific disciplines. This paper argues against a widely spread method for calculating the ? parameter in this distribution. When the ln function is applied to both members, the equation of a straight line in t is obtained, which may be fit by means of linear regression. However, the paper illustrates that this is equivalent to a least squares fit with a weight function that assigns more importance to the higher values of t. It is argued that the method of maximum likelihood should be applied, because it takes into account all of the data equally. An iterative method for determining ? is proposed, based on the method of moments for cases in which only a truncated distribution is available.
    publisherAmerican Meteorological Society
    titleFitting an Exponential Distribution
    typeJournal Paper
    journal volume44
    journal issue10
    journal titleJournal of Applied Meteorology
    identifier doi10.1175/JAM2271.1
    journal fristpage1620
    journal lastpage1625
    treeJournal of Applied Meteorology:;2005:;volume( 044 ):;issue: 010
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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