The name is absent



64

• φ = (y>1,..., φn) is the vector of indicator variables indexing the value of
(β↑,δ↑),..., (βκ,δ*κ) related with (βi,δi) for г = l,...,n. Thatis, φi = к,
if (∕¾Λ) = G¾*Λ)∙

This configuration determines the following set of variables:

• Sk := {i : ψi — k} is the set of sample indices of (βi,δβ related to (∕0⅛,5⅛) for
k = 1,...,M.

• nk := #Sk.

We will denote as K~l, nβ't and τ for к — 1,..., К~г, (β*,δ*)~t = (^ɪ, <5j,)-∖ ...,
to the configuration corresponding to
(β,δ')~l (βι,δι),..., (βi-li+β),
(∕¾+1,⅝+ι),... ,(∕3n, δn). We now describe the corresponding steps (a)-(e) of Section
3.2 and extra step (f) for the proposed model.

(a) Given the current imputed values (K, (β*, δ*), φ), generate a new configuration
by simulating
φl,..., φn from the complete conditional posterior distribution,

P{φi = kNi, (β, δ)-i, φ~i, K~i) = ¾fc, for к = 0,..., K~l
where,

(∙⅝⅛)sg Γ(sja + М2)
<J^ + S0t0^+N" Γ(sz3)


{sβββi Γ(,s⅛ + M3 )
i + s6t0)ss+Ni3 r(ʤ) ]’

qik = cn~kiβ*k m2δ*k Ni3eXp{-^k + δ*k)}, for j = 1,..., K~i,
and c is a normalization constant such that ¾o ÷ ■ ∙ ∙ ÷      — 1. Whenever we

sample φi = 0, we generate a new observation i, δi) from

Gfα(∕¾∣sj3 + Ni2,Sβtβ ÷ μβ × Ga(¾∣s⅛ + Ni2, sβs + μi),

and update, accordingly, the new configuration by K — K + 1 and φi = n + 1.



More intriguing information

1. How Low Business Tax Rates Attract Multinational Headquarters: Municipality-Level Evidence from Germany
2. Fiscal federalism and Fiscal Autonomy: Lessons for the UK from other Industrialised Countries
3. THE CHANGING RELATIONSHIP BETWEEN FEDERAL, STATE AND LOCAL GOVERNMENTS
4. Herman Melville and the Problem of Evil
5. The name is absent
6. The name is absent
7. CONSIDERATIONS CONCERNING THE ROLE OF ACCOUNTING AS INFORMATIONAL SYSTEM AND ASSISTANCE OF DECISION
8. The name is absent
9. An Investigation of transience upon mothers of primary-aged children and their school
10. Does South Africa Have the Potential and Capacity to Grow at 7 Per Cent?: A Labour Market Perspective