θ (= ρ) | Mean ( ) | SD ( ) | θ in C.I. | ρ in C.I. | ρ/θ in C.I | ||||
---|---|---|---|---|---|---|---|---|---|
1 | 0.99 | 0.54 | 96 | 0.55 | 0.23 | 100 | 0.67 | 0.24 | 99 |
2 | 1.00 | 0.43 | 95 | 0.65 | 0.41 | 98 | 0.71 | 0.35 | 97 |
3 | 1.00 | 0.31 | 100 | 0.8 | 0.50 | 94 | 0.8 | 0.50 | 92 |
Shown are estimated means and standard deviations of the maximum-likelihood estimates of θ; estimated median of maximum-likelihood estimates of ρ and ρ/θ; g, the proportion of times that the MLE is within a factor of 2 of the truth; and coverage properties of an ~95% confidence interval (calculated using a chi-square approximation to the likelihood ratio statistic). Results are based on 100 samples (each of size 50) for each of the three sequence lengths.