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Fig. 3 | Journal of Statistical Distributions and Applications

Fig. 3

From: Mean and variance of ratios of proportions from categories of a multinomial distribution

Fig. 3

The simulation results based on three multinomial distributions and various values of N from Theorem 2. Displayed are the results for variance. The simulation data for original ratios Z0 (squares) are compared with models: the Taylor-series model (solid line) and the corrected modified ratio models with N=1 (dashed line), N=3 (dots), N=5 (dash-dot line). Observe that because of the condition on n in Theorem 2, the modified ratio models do not start at the same value of n for different N

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