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1answer
57 views

Maximum likelihood estimators, hypergeometric and binomial

I'm trying to solve a two part problem. The set up is as follows: consider a bag with $\theta$ red marbles and $7-\theta$ blue marbles, with $\theta$ being unknown. Let $x$ denote the number of red ...
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117 views

Stationary Zero Mean AR(1) time series?? Yule-Walker equations???

Let {$X$t; $-∞ < t < ∞$} be a stationay zero mean AR(1) time series process given by $X$t = 0.5$X$t-1 + $V$t and define $Y$t as $Y$t = $X$t + $W$t where $V$t ≈$N$ ...
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0answers
27 views

MLE estimation of parameters, converting normalized observations to integers and back

I am fitting a model's parameters to grouped data by maximizing the likelihood equation: $L(\theta)=N!\prod_{i=1}^{G}\frac{p_i(\theta)^{n_i}}{n_i!}$ $\theta$ is the vector of parameters. $n_i$ is ...