The name is absent



102

with the same prognosis.

Appendix

Gibbs Sampling Scheme

Any set of imputed parameters θι,..., θn corresponds to a partition p = (Si,..., S⅛)
of the indices {1,..., n}. Let
θ*,..., θ*κ the unique values in the sample in order of
appearance and define
Sk = {i '■ θi = θ*k}.

Consider the Dirichlet process mixture model (Antoniak, 1974) in (3.9). Let
д~г (flɪ,...,0i-ι,θi+1, ...,θn) denote all values but θi. Let K~l be the number of
unique values in
θ~ let θ↑~ ..., θ*1^i be these different values in order of appearance
and
p~l be the partition implied by θ~l. Use equation (4.5) with the n—1 observations
and let the observation
i be the future observation (exchangeability allows us to
permutate the indices) to get:

κ~i

pi I θ~i] = fκ-41(p-i)g0i) + ∑ Λ(p-‰-O,
fc=l

where δx is a pointmass at x and go is the pdf corresponding to Go- Therefore,

p[θi I θ~i,yn] <xp[yn I θi,θ~i]p[θi I θ~i]


κ~i                  `

⅛.+ι(∏G0(¾) +             ,

fc=l
κ~i

<xp[Vi I θl]fκ+1{p~l')Go{θi') + V fk(p~l)p[yi I θiθ*-i(θi)
• ∙                                              K

fc=l

Using (4.5) we get:

κ~i /    +1 V

p[θi I θ~ yn] oc ⅛p[yi I 0i]Go(0l) + £ #Sfc           ) p[yi Λ-ii),

where I is the value of the categorical covariate (in our particular, the prognosis)
corresponding to the
ith experimental unit (patient).



More intriguing information

1. STIMULATING COOPERATION AMONG FARMERS IN A POST-SOCIALIST ECONOMY: LESSONS FROM A PUBLIC-PRIVATE MARKETING PARTNERSHIP IN POLAND
2. The name is absent
3. The name is absent
4. The name is absent
5. Ultrametric Distance in Syntax
6. Willingness-to-Pay for Energy Conservation and Free-Ridership on Subsidization – Evidence from Germany
7. The Role of Land Retirement Programs for Management of Water Resources
8. The name is absent
9. Novelty and Reinforcement Learning in the Value System of Developmental Robots
10. FDI Implications of Recent European Court of Justice Decision on Corporation Tax Matters
11. Empirically Analyzing the Impacts of U.S. Export Credit Programs on U.S. Agricultural Export Competitiveness
12. The Shepherd Sinfonia
13. CAPACITAÇÃO GERENCIAL DE AGRICULTORES FAMILIARES: UMA PROPOSTA METODOLÓGICA DE EXTENSÃO RURAL
14. EFFICIENCY LOSS AND TRADABLE PERMITS
15. Text of a letter
16. Public Debt Management in Brazil
17. Monetary Policy News and Exchange Rate Responses: Do Only Surprises Matter?
18. The name is absent
19. The name is absent
20. Ex post analysis of the regional impacts of major infrastructure: the Channel Tunnel 10 years on.