# ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 90 - 95 of 246

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## Question number: 90

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Asymptotically Poisson | |

b. | Uniformly | |

c. | Asymptotically Normally | |

d. | Question does not provide sufficient data or is vague |

## Question number: 91

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

Which of the following are the methods of Estimation?

### Choices

Choice (4) | Response | |
---|---|---|

a. | Method of Minimum Chi-square | |

b. | Method of Maximum Likelihood Estimation | |

c. | Method of Minimum Variance | |

d. | All a. , b. and c. are correct |

## Question number: 92

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

In sampling from a normal population , MLE ( ) is the

### Choices

Choice (4) | Response | |
---|---|---|

a. | Most efficient estimator | |

b. | Consistent estimator | |

c. | Unbiased estimator | |

d. | All a. , b. and c. are correct |

## Question number: 93

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

In a random sampling from Normal population suppose the MLE of mean is , then simultaneous estimation of is

### Choices

Choice (4) | Response | |
---|---|---|

a. | Biased | |

b. | Unbiased | |

c. | Consistent and unbiased | |

d. | Consistent and not unbiased |

## Question number: 94

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

If a sufficient estimator exists, then it will be a function of the ________ Estimator.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Consistent | |

b. | Maximum Likelihood | |

c. | Unbiased | |

d. | All of the above |

## Question number: 95

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

### Question

Uniformly minimum-variance unbiased estimator (UMVUE) or minimum-variance unbiased estimator (MVUE) is an unbiased estimator that has ________ than any other unbiased estimator for all possible values of the parameter.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Maximum variance | |

b. | Minimum variance | |

c. | zero variance | |

d. | None of the above |