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Let X1, X2, X3, … , Xn be a random sample from the following probability density
function for 0 < μ < ∞, 0 < α < 1,
Here α and μ are unknown parameters. Which of the following statements is TRUE?
  • a)
    Maximum likelihood estimator of only μ exists
  • b)
    Maximum likelihood estimator of only α exists
  • c)
    Maximum likelihood estimators of both μ and α exist
  • d)
    Maximum likelihood estimator of Neither μ nor α exists
Correct answer is option 'D'. Can you explain this answer?
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Let X1, X2, X3, … , Xn be a random sample from the following probability densityfunction for 0 < μ < ∞, 0 < α < 1,Here α and μ are unknown parameters. Which of the following statements is TRUE?a)Maximum likelihood estimator of only μ existsb)Maximum likelihood estimator of only α existsc)Maximum likelihood estimators of both μ and α existd)Maximum likelihood estimator of Neither μ nor α existsCorrect answer is option 'D'. Can you explain this answer?
Question Description
Let X1, X2, X3, … , Xn be a random sample from the following probability densityfunction for 0 < μ < ∞, 0 < α < 1,Here α and μ are unknown parameters. Which of the following statements is TRUE?a)Maximum likelihood estimator of only μ existsb)Maximum likelihood estimator of only α existsc)Maximum likelihood estimators of both μ and α existd)Maximum likelihood estimator of Neither μ nor α existsCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let X1, X2, X3, … , Xn be a random sample from the following probability densityfunction for 0 < μ < ∞, 0 < α < 1,Here α and μ are unknown parameters. Which of the following statements is TRUE?a)Maximum likelihood estimator of only μ existsb)Maximum likelihood estimator of only α existsc)Maximum likelihood estimators of both μ and α existd)Maximum likelihood estimator of Neither μ nor α existsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let X1, X2, X3, … , Xn be a random sample from the following probability densityfunction for 0 < μ < ∞, 0 < α < 1,Here α and μ are unknown parameters. Which of the following statements is TRUE?a)Maximum likelihood estimator of only μ existsb)Maximum likelihood estimator of only α existsc)Maximum likelihood estimators of both μ and α existd)Maximum likelihood estimator of Neither μ nor α existsCorrect answer is option 'D'. Can you explain this answer?.
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