How do I simulate Bernoulli observations?

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Chris Chen 2021-10-15

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回答： Prachi Kulkarni 2021-10-18

I want to simulate 1000 Bernoulli observations with p = 0.2 and compute an MLE estimate of p along with standard errors and t-statistics, what's the easiest way to do so?

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Answer 1

Prachi Kulkarni 2021-10-18

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Hi,

You can generate the Bernoulli observation and get the statistics as follows.

n = 1000;
p = 0.2;
data = binornd(1,p,n,1); % Generate 1000 observatiosn of Bernoulli Trials with p = 0.2
phat = mle(data,Distribution="Bernoulli"); % Maximum Likelihood Estimate of p
se = std(data)/sqrt(n); % Standard Error of Mean
[hypothesis,pvalue,ci,stats] = ttest(data); % t-statistics