Estimation
98 questions across 14 topics.
Estimation
- 7Sufficient statistic for normal varianceIIT JAM 2026 MSEstimationEasy
- 24MLE in an exponential-of-exponential modelIIT JAM 2026 MSEstimationMedium
- 25Invariance for exponential functionalsIIT JAM 2026 MSEstimationMedium
- 37UMVUE of an exponential tailIIT JAM 2026 MSEstimationHard
- 38OLS identities for five design pointsIIT JAM 2026 MSEstimationHard
- 48MOM estimate of a Beta shapeIIT JAM 2026 MSEstimationMedium
- 57Sample size for a fixed-width intervalIIT JAM 2026 MSEstimationMedium
- 10Confidence interval for a triangular scaleIIT JAM 2025 MSEstimationHard
- 26Ancillary statistics for a correlationIIT JAM 2025 MSEstimationHard
- 27UMVUE in a three-cell multinomialIIT JAM 2025 MSEstimationHard
- 37Estimators when mean equals varianceIIT JAM 2025 MSEstimationHard
- 38Sufficiency for a power familyIIT JAM 2025 MSEstimationMedium
- 39Least squares with a balanced plus-minus designIIT JAM 2025 MSEstimationHard
- 40Geometric MOM estimatorIIT JAM 2025 MSEstimationMedium
- 46MLE of lambda in a Poisson mixtureIIT JAM 2025 MSEstimationHard
- 54MOM from summed squared distancesIIT JAM 2025 MSEstimationMedium
- 57UMVUE of theta squared for a ParetoIIT JAM 2025 MSEstimationHard
- 27Which variance claim fails for two unbiased estimatorsIIT JAM 2024 MSEstimationHard
- 28MLE of binomial n and p on a gridIIT JAM 2024 MSEstimationHard
- 50UMVUE of an exponential meanIIT JAM 2024 MSEstimationEasy
- 58MLE of a symmetric uniform half-widthIIT JAM 2024 MSEstimationEasy
- 6Parameter-free conditional expectation for normalIIT JAM 2023 MSEstimationMedium
- 18UMVUE and CRLB for normal parameterIIT JAM 2023 MSEstimationMedium
- 19Consistency of shifted exponential estimatorsIIT JAM 2023 MSEstimationMedium
- 20Relations among uniform MOM estimatorsIIT JAM 2023 MSEstimationMedium
- 33One-sided and two-sided confidence intervalsIIT JAM 2023 MSEstimationHard
- 44Constant for unbiased normal scale estimationIIT JAM 2023 MSEstimationEasy
- 54MLE of gamma population varianceIIT JAM 2023 MSEstimationMedium
- 55UMVUE of geometric parameter squaredIIT JAM 2023 MSEstimationHard
- 9UMVUE for exponential distributionIIT JAM 2022 MSEstimationMedium
- 25MLE and MOM for piecewise uniformIIT JAM 2022 MSEstimationMedium
- 28Confidence interval for normal meanIIT JAM 2022 MSEstimationHard
- 39MLE and sufficiency for Laplace locationIIT JAM 2022 MSEstimationHard
- 49Method of moments for Laplace-normal mixtureIIT JAM 2022 MSEstimationMedium
- 59Sum of least squares regression estimatesIIT JAM 2022 MSEstimationMedium
- 18UMVUE of the Poisson mass at zero times cubeIIT JAM 2021 MSEstimationHard
- 19MLE for a shifted uniform familyIIT JAM 2021 MSEstimationHard
- 38Statistics for a symmetric uniformIIT JAM 2021 MSEstimationMedium
- 39UMVUE and MLE of the inverse scaleIIT JAM 2021 MSEstimationHard
- 40CRLB for cube and reciprocal of thetaIIT JAM 2021 MSEstimationMedium
- 46MLE capped by the parameter rangeIIT JAM 2021 MSEstimationMedium
- 10Pairwise-difference estimator of the varianceIIT JAM 2020 MSEstimationMedium
- 21Least squares from five summary sumsIIT JAM 2020 MSEstimationMedium
- 27The estimator that is not an MLEIIT JAM 2020 MSEstimationHard
- 28Chi-square pivot for an exponential rateIIT JAM 2020 MSEstimationMedium
- 39Sample mean beats sample variance for PoissonIIT JAM 2020 MSEstimationHard
- 49Invariance for an exponential functionalIIT JAM 2020 MSEstimationMedium
- 58UMVUE of a Bernoulli polynomialIIT JAM 2020 MSEstimationMedium
- 59UMVUE of a Poisson tailIIT JAM 2020 MSEstimationHard
Maximum likelihood estimation
- 27MLE of the parameter of N(theta, theta)IIT JAM 2019 MSMaximum likelihood estimationHard
- 8Maximum likelihood estimate from a categorical sampleIIT JAM 2018 MSMaximum likelihood estimationMedium
- 18Maximum likelihood estimate of the square of a location parameterIIT JAM 2017 MSMaximum likelihood estimationMedium
- 36Non-unique MLE for a uniform distribution of fixed widthIIT JAM 2016 MSMaximum likelihood estimationHard
- 15MLE of the exponent of a power densityIIT JAM 2015 MSMaximum likelihood estimationMedium
- 21MLE of a common variance factorIIT JAM 2015 MSMaximum likelihood estimationMedium
- 40Properties of estimators in the normal model with both parameters unknownIIT JAM 2015 MSMaximum likelihood estimationHard
- 43MLE of a Bernoulli parameter restricted to an intervalIIT JAM 2015 MSMaximum likelihood estimationMedium
- 33MLE of the rate of a Weibull-type densityIIT JAM 2014 MSMaximum likelihood estimationMedium
Confidence intervals
- 50Confidence interval for a difference of meansIIT JAM 2019 MSConfidence intervalsHard
- 59Confidence interval based on the sample minimumIIT JAM 2019 MSConfidence intervalsHard
- 36Confidence intervals for a shift parameterIIT JAM 2018 MSConfidence intervalsHard
- 20Constant for a confidence interval of a normal varianceIIT JAM 2017 MSConfidence intervalsMedium
- 39Confidence intervals for an exponential rate parameterIIT JAM 2016 MSConfidence intervalsMedium
- 14Confidence interval consistent with rejection of the nullIIT JAM 2015 MSConfidence intervalsHard
- 15Confidence coefficient of an interval based on the sample minimumIIT JAM 2013 MSConfidence intervalsMedium
- 14Sample size from the half-width of a confidence intervalIIT JAM 2012 MSConfidence intervalsMedium
Consistency of estimators
- 39Consistent estimators built from the sample minimumIIT JAM 2019 MSConsistency of estimatorsMedium
- 37Consistent estimators of the cube of a uniform endpointIIT JAM 2018 MSConsistency of estimatorsHard
- 40Consistent estimators from the extremes of a shifted uniformIIT JAM 2018 MSConsistency of estimatorsHard
- 13Bias and consistency of the sample minimumIIT JAM 2016 MSConsistency of estimatorsMedium
- 21Consistent estimator of theta for a normal with mean twice the sdIIT JAM 2016 MSConsistency of estimatorsMedium
- 16Consistent estimator for the scale of a quartic-type densityIIT JAM 2015 MSConsistency of estimatorsMedium
- 8Bias and consistency of a combination of a sample mean and one new observationIIT JAM 2013 MSConsistency of estimatorsHard
Unbiased estimators
- 9Unbiased estimator under a normal mixtureIIT JAM 2019 MSUnbiased estimatorsMedium
- 10Linear unbiased estimator with smallest varianceIIT JAM 2017 MSUnbiased estimatorsMedium
- 37Unbiased estimators of a Bernoulli parameterIIT JAM 2017 MSUnbiased estimatorsMedium
- 10Conditions for a linear estimator of the slope to be unbiasedIIT JAM 2016 MSUnbiased estimatorsMedium
- 37Unbiased and consistent estimators of theta squaredIIT JAM 2015 MSUnbiased estimatorsHard
- 13Unbiased estimator of the square of a range parameterIIT JAM 2012 MSUnbiased estimatorsHard
Sufficiency and completeness
- 39Sufficient but not complete statistics for a gamma familyIIT JAM 2017 MSSufficiency and completenessHard
- 38Sufficiency, completeness and UMVUE for a normal variance parameterIIT JAM 2016 MSSufficiency and completenessHard
- 12Completeness of two statistics with one-parameter pmfsIIT JAM 2014 MSSufficiency and completenessHard
- 34Incorrect statement about estimators for a uniform distributionIIT JAM 2014 MSSufficiency and completenessMedium