Titlebook: Lectures on Algebraic Statistics; Mathias Drton,Bernd Sturmfels,Seth Sullivant Textbook 2009 Birkh?user Basel 2009 Factor analysis.Grad.Li

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書目名稱Lectures on Algebraic Statistics影響因子(影響力)




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Hidden Variables,tandard asymptotic theory usually does not apply because of model singularities. For example, we saw in Chapter 2 that the chi-square asymptotics for the likelihood ratio test are typically not valid at a singular point.

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準(zhǔn)則

Ordeal

Markov Bases,ency tables can be tested in an exact approach by performing random walks on a constrained set of tables with non-negative integer entries. Markov bases are of key importance to this statistical methodology because they comprise moves between tables that ensure that the random walk connects every pair of tables in the considered set.

統(tǒng)治人類

Bayesian Integrals,aximizing the likelihood function, we now seek to integrate that same function. This chapter aims to show how algebraic methods can be applied to various aspects of this problem. Section 5.1 discusses asymptotics of Bayesian integrals for large sample size, while Section 5.2 concerns exact evaluation of integrals for small sample size.

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移植

itself one of the most profound questions ever faced by scie.The dark matter problem is one of the most fundamental and profoundly difficult to solve problems in the history of science. Not knowing what makes up most of the known universe goes to the heart of our understanding of the Universe and ou