翻訳と辞書 Words near each other ・ Modified citrus pectin ・ Modified Compression Field Theory ・ Modified condition/decision coverage ・ Modified Dall–Kirkham telescope ・ Modified Dietz method ・ Modified discrete cosine transform ・ Modified due-date scheduling heuristic ・ Modified Frequency Modulation ・ Modified GRF (1-29) ・ Modified Harvard architecture ・ Modified Hotchkiss machine gun ・ Modified Huffman coding ・ Modified hyperbolic tangent ・ Modified internal rate of return ・ Modified KdV-Burgers equation ・ Modified lognormal power-law distribution ・ Modified Maddrey's discriminant function ・ Modified milk ingredients ・ Modified models of gravity ・ Modified Modular Jack ・ Modified Morlet wavelet ・ Modified Motors Magazine ・ Modified Newtonian dynamics ・ Modified nodal analysis ・ Modified Overt Aggression Scale ・ Modified pressure ・ Modified Rankin Scale ・ Modified Richardson iteration ・ Modified risk tobacco product ・ Modified starch Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Modified lognormal power-law distribution ： ウィキペディア英語版 Modified lognormal power-law distribution The Modified Lognormal Power-Law (MLP) function is a three parameter function that can be used to model data that have characteristics of a lognormal distribution and a power-law behavior. It has been used to model the functional form of the Initial Mass Function (IMF). Unlike the other functional forms of the IMF, the MLP is a single function with no joining conditions. ==Functional form of the MLP distribution== If the random variable W is distributed normally, i.e. W ~ N (μ,σ2), then the random variable M = eW will be distributed lognormally: :$\backslash begin$ f_m(m;\mu,\sigma ^2) = \frac exp(-\frac), z > 0 \end The parameters $\backslash begin\backslash mu\; \_0\backslash end$ and $\backslash begin\backslash sigma\_0\backslash end$ follow while determining the initial value of the mass variable, $\backslash beginM\_0\backslash end$ lognormal distribution of $\backslash beginm\backslash end$. If the growth of this object with $\backslash beginM\_0\; =\; m\_0\backslash end$ is exponential with growth rate $\backslash begin\backslash gamma\; \backslash end$, then we can write $\backslash begin\backslash frac=\; \backslash gamma\; m\; \backslash end$. After time $\backslash begint\backslash end$, the mean of the lognormal distribution would have changed to $\backslash begin\backslash mu\; \_0\; +\; \backslash gamma\; t\backslash end$. However, considering time as a random variable, we can write $\backslash beginf(t)\; =\; \backslash delta\; exp(-\backslash delta\; t)\backslash end$. The closed form of the probability density function of the MLP is as follows: :$\backslash begin$ f(m)= \frac exp(\alpha \mu _0+ \frac) m^ erfc( \frac)), m \in [0,\infty) \end where $\backslash begin\; \backslash alpha\; =\; \backslash frac\; \backslash end$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Modified lognormal power-law distribution」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.