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③ We to cylindrical coin with $v = \{H; S, T\}$ where $H$ - denotes head; $S$ - denotes side & $T$ - denotes tail. Assume that $P(l_{W_1}3) = P(l_{W_2}3) = p$ and $P(l_{W_3}3) = 1-2p$. Find the estimator of $p$ (i.e. $\hat{p} \approx p$) a) using moments' based method b) using most likelihood estimator. We assume here that: $X: v \to \{-1, 0, 1\}^3$ $X(l_{W_1}3) = -1$; $X(l_{W_2}3) = 0$; $X(l_{W_3}3) = 1$ Both estimator should take into account n observations of tossing such coin with $\{x_1, x_2,..., x_n\}$ detected, where $x_i \in \{-1, 0, 1\}^3$.

          ③ We to cylindrical coin with $v = \{H; S, T\}$
where $H$ - denotes head; $S$ - denotes
side & $T$ - denotes tail. Assume that
$P(l_{W_1}3) = P(l_{W_2}3) = p$ and $P(l_{W_3}3) = 1-2p$.
Find the estimator of $p$ (i.e. $\hat{p} \approx p$)
a) using moments' based method
b) using most likelihood estimator.
We assume here that: $X: v \to \{-1, 0, 1\}^3$
$X(l_{W_1}3) = -1$; $X(l_{W_2}3) = 0$; $X(l_{W_3}3) = 1$
Both estimator should take into account
n observations of tossing such coin with
$\{x_1, x_2,..., x_n\}$ detected, where $x_i \in \{-1, 0, 1\}^3$.

3 we to cylindrical coin with v h s t where h denotes head s denotes side t denotes tail assume that plw13 plw23 p and plw33 1 2p find the estimator of p ie hatp approx p a using momen 99342

Added by Annette B.

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