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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?
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