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- W4236695726 endingPage "449" @default.
- W4236695726 startingPage "442" @default.
- W4236695726 abstract "Extract Molecular Evolution: A Statistical Approach. Ziheng Yang. © Ziheng Yang 2014. Published 2014 by Oxford University Press. Functions of random variables This section includes two theorems concerning functions of random variables. Theorem 1 specifies the probability density of functions of random variables. Theorem 2 gives the proposal ratio in a Markov chain Monte Carlo (MCMC) algorithm when the Markov chain is formulated using variables x, but the proposal is made by changing variables y, which are functions of x. Theorem 1. (a) Suppose X is a random variable with density fXx,andY=hXandX=h−1Y constitute a one-to-one mapping between X and Y. Then the random variable Y has density Here we use the capital letters X and Y for the random variables and the small letters x and y for their realized values. Note that dxdy=1/dydx if dydx is easier to calculate. (b) The multivariate..." @default.
- W4236695726 created "2022-05-12" @default.
- W4236695726 creator A5073515441 @default.
- W4236695726 date "2014-05-15" @default.
- W4236695726 modified "2023-09-26" @default.
- W4236695726 title "Appendices" @default.
- W4236695726 cites W119731892 @default.
- W4236695726 cites W1492321864 @default.
- W4236695726 cites W1525734744 @default.
- W4236695726 cites W1531684891 @default.
- W4236695726 cites W1534406401 @default.
- W4236695726 cites W1546299989 @default.
- W4236695726 cites W1575292542 @default.
- W4236695726 cites W1576649281 @default.
- W4236695726 cites W1594381616 @default.
- W4236695726 cites W1598813349 @default.
- W4236695726 cites W1600814660 @default.
- W4236695726 cites W1614311166 @default.
- W4236695726 cites W1646393397 @default.
- W4236695726 cites W1664199649 @default.
- W4236695726 cites W1673606065 @default.
- W4236695726 cites W17340865 @default.
- W4236695726 cites W1800104164 @default.
- W4236695726 cites W1830719945 @default.
- W4236695726 cites W1831416021 @default.
- W4236695726 cites W191821314 @default.
- W4236695726 cites W1963611440 @default.
- W4236695726 cites W1963674435 @default.
- W4236695726 cites W1963858560 @default.
- W4236695726 cites W1963999631 @default.
- W4236695726 cites W1964511844 @default.
- W4236695726 cites W1964575260 @default.
- W4236695726 cites W1965184313 @default.
- W4236695726 cites W1965307886 @default.
- W4236695726 cites W1965612527 @default.
- W4236695726 cites W1966158039 @default.
- W4236695726 cites W1966233419 @default.
- W4236695726 cites W1966957912 @default.
- W4236695726 cites W1967687583 @default.
- W4236695726 cites W1968248848 @default.
- W4236695726 cites W1968256798 @default.
- W4236695726 cites W1968371014 @default.
- W4236695726 cites W1968561408 @default.
- W4236695726 cites W1968882642 @default.
- W4236695726 cites W1969154557 @default.
- W4236695726 cites W1969408547 @default.
- W4236695726 cites W1972735733 @default.
- W4236695726 cites W1973101413 @default.
- W4236695726 cites W1973575289 @default.
- W4236695726 cites W1973594349 @default.
- W4236695726 cites W1974017602 @default.
- W4236695726 cites W1974185791 @default.
- W4236695726 cites W1974682733 @default.
- W4236695726 cites W1975041634 @default.
- W4236695726 cites W1975520815 @default.
- W4236695726 cites W1975548496 @default.
- W4236695726 cites W1975829042 @default.
- W4236695726 cites W1976657190 @default.
- W4236695726 cites W1977813863 @default.
- W4236695726 cites W1977832025 @default.
- W4236695726 cites W1977862457 @default.
- W4236695726 cites W1978266297 @default.
- W4236695726 cites W1979257831 @default.
- W4236695726 cites W1979597031 @default.
- W4236695726 cites W1979663020 @default.
- W4236695726 cites W1979741076 @default.
- W4236695726 cites W1980001465 @default.
- W4236695726 cites W1981248791 @default.
- W4236695726 cites W1981576072 @default.
- W4236695726 cites W1981662601 @default.
- W4236695726 cites W1981783986 @default.
- W4236695726 cites W1982379208 @default.
- W4236695726 cites W1982603712 @default.
- W4236695726 cites W1982607030 @default.
- W4236695726 cites W1982848324 @default.
- W4236695726 cites W1983002447 @default.
- W4236695726 cites W1983408155 @default.
- W4236695726 cites W1983519005 @default.
- W4236695726 cites W1983628095 @default.
- W4236695726 cites W1984914703 @default.
- W4236695726 cites W1985154076 @default.
- W4236695726 cites W1985175395 @default.
- W4236695726 cites W1986617857 @default.
- W4236695726 cites W1987510089 @default.
- W4236695726 cites W1988024444 @default.
- W4236695726 cites W1989298969 @default.
- W4236695726 cites W1989876752 @default.
- W4236695726 cites W1990039476 @default.
- W4236695726 cites W1990058505 @default.
- W4236695726 cites W1990171433 @default.
- W4236695726 cites W1990284472 @default.
- W4236695726 cites W1990476012 @default.
- W4236695726 cites W1990611835 @default.
- W4236695726 cites W1991207390 @default.
- W4236695726 cites W1991530450 @default.
- W4236695726 cites W1991710117 @default.
- W4236695726 cites W1992312591 @default.
- W4236695726 cites W1993054962 @default.