Let a random sample from a normal distribution with mean and unknown standard deviation be . The maximum likelihood estimate of is ________ (rounded off to two decimal places).
IIT JAM 2024 Question 56: Point and interval estimation
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Let a random sample from a normal distribution with mean 5 and unknown standard deviation σ be 4.8, 4.5, 5.1, 5.2, 5.3, 5.5. The maximum likelihood estimate of σ² is (rounded off to two decimal places).
Also written as: Let a random sample from a normal distribution with mean 5 and unknown standard deviation sigma be 4.8, 4.5, 5.1, 5.2, 5.3, 5.5. The maximum likelihood estimate of sigma^2 is (rounded off to two decimal places).
Point and interval estimation has come up 28 times in 6 exams since 2008.
What this question tests
This question is on Maximum likelihood estimation, part of Point and interval estimation in Statistics.
Choosing the parameter value that makes the data most likely.
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