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- Timestamp:
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Jan 4, 2011, 5:36:28 PM (14 years ago)
- Author:
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Víctor de Buen Remiro
- Comment:
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v4
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v5
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113 | 113 | |
114 | 114 | [[LatexEquation( E\left[\ln\left(P_{i}\right)\right]\approx\ln\left(\begin{array}{c}S\\h_{i}\end{array}\right)+h_{i}\mu_{i}+\left(S-h_{i}\right)\ln\left(1-e^{\mu_{i}}\right)-\frac{1}{2}\frac{e^{\mu_{i}}}{1-e^{\mu_{i}}}\left(1+\frac{e^{\mu_{i}}}{1-e^{\mu_{i}}}\right)\left(S-h_{i}\right)\sigma^{2} )]] |
| 115 | |
| 116 | Para que esta expresión sea evaluable debe cumplirse |
| 117 | |
| 118 | [[LatexEquation( 1-e^{\mu_{i}}>0\forall i=1\ldots S' )]] |
115 | 119 | |
116 | | Puesto que la probabilidad [[LatexEquation(p_i)]] no puede ser mayor que 1, [[LatexEquation(\lambda_1)]] tendrá que cumplir la siguiente restricción [[BR]] [[BR]] |
117 | | [[LatexEquation( \lambda_{1}\leq-\underset{i=S'}{\max}\left\{ \ln\left(\pi_{i}+\underset{j=1}{\overset{k}{\prod}}\pi_{i,j}\right)+n\ln r_{i,k}+\xi_{i}\right\} )]] [[BR]] |
| 120 | Así pues [[LatexEquation(\lambda_1)]] tendrá que cumplir la siguiente restricción [[BR]] |
| 121 | [[LatexEquation( \lambda_{1}\leq-\underset{i=S'}{\max}\left\{ \ln\left(\pi_{i}+\underset{j=1}{\overset{k}{\prod}}\pi_{i,j}\right)+n\ln r_{i,k}\right\} )]] [[BR]] |
118 | 122 | |
119 | 123 | == Test de super-población == |
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127 | 131 | |
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