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Statistics版 - bayesian 一道作业题:
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are there any other comman prior distribution used in bayesian statistics大伙儿捧个人场吧
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[转载] Frequentist View and Bayesian Viewbayesian hierachical model
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应该怎么准备这MS啊?How to test a sample is negative binomial distribution
求助:Bayesian入门[合集] 这种情况是不是只能用macro?
关于beta 分布的 conjugate prior问一个简单的求posterior的问题
相关话题的讨论汇总
话题: prior话题: part话题: bayesian话题: data
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a**j
发帖数: 60
1
Baysian Data Analysis
Question 3.6 please help with solving Part (A) Part (C)
Part (B) should be fine
Binomial with unknown probability and sample size: some of the difficulties
with setting prior distributions in multiparameter models can be illustrated
with the simple binomial distribution. Consider data y1, y2, …, yn,
modeled as iid Bin(N, θ), with both N and θ unknown. Defining a convenient
family of prior distributions on (N, 0) is difficult, partly because of the
discreteness of N.
Raftery (1988) considers a hierarchical approach based on assigning the
parameter N a Poisson distribution with unknown mean p. To define a prior
distribution on (0, N), Raftery defines λ =µθ and specifies a prior
distribution on (λ, θ). The prior distribution is specified in terms of λ
rather than µ because 'it would seem easier to formulate prior
information about λ, the unconditional expectation of the observations,
than about µ, the mean of the unobserved quantity N.'
(a) A suggested noninformative prior distribution is p (λ, θ) λ-1.
What is a motivation for this noninformative distribution? Is the
distribution improper? Transform to determine p (N, θ).

(b) The Bayesian method is illustrated on counts of waterbuck obtained by
remote photography on five separate days in Kruger Park in South Africa.
The counts were 53, 57, 66, 67, and 72. Perform the Bayesian analysis on
these data and display a scatterplot of posterior simulations of (N, θ).
What is the posterior probability that N > l00?
(c) Why not simply use a Poisson prior distribution with fixed p as a prior
distribution for N?
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相关主题
问一个简单的求posterior的问题好奇:有没有什么model可以预测到大地震的发生?!
Poisson and Binomial应该怎么准备这MS啊?
如何分析这个data?求助:Bayesian入门
预测了一个分布,但是这个分布我只观测到一个realization?有什么办法评估一下这个分布的合理性吗?关于beta 分布的 conjugate prior
are there any other comman prior distribution used in bayesian statistics大伙儿捧个人场吧
大家做bayesian prior distribution的时候怎么assume non negative的parameter‘s distribution?ANOVA model 中 CELL count 过小到底对model有什么影响
[转载] Frequentist View and Bayesian Viewbayesian hierachical model
test count data distribution in SAS急请教一个分布函数, 包子酬谢
相关话题的讨论汇总
话题: prior话题: part话题: bayesian话题: data