# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 79 - 85 of 253

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## Question 79

### Question

MCQ▾Maximum Likelihood Estimator (MLE) is the same regardless of whether we maximize the likelihood or the log-likelihood function. This statement is

### Choices

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

a. | True only if L < 0 | |

b. | True | |

c. | False | |

d. | None of the above |

## Question 80

### Question

MCQ▾MLE՚s are always consistent estimators. This Theorem is known as

### Choices

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

a. | Cramer-Rao Theorem | |

b. | Baye՚s Theorem | |

c. | Hazoor Bazar՚s Theorem | |

d. | Rao-Blackwell Theorem |

## Question 81

### Question

MCQ▾If MLE exists, it is the most efficient in the class of such estimators.

### Choices

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

a. | True only for some distributions | |

b. | False | |

c. | True | |

d. | All of the above |

## Question 82

### Question

MCQ▾The MLE of the parameter α of the distribution is given by

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 83

### Question

MCQ▾Consider a function of the sample values. is said to be Maximum Likelihood Estimator (MLE) if

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 84

### Question

MCQ▾The maximum Likelihood Estimator of θ in is

### Choices

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

a. | Does not exists | |

b. | ||

c. | ||

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

## Question 85

### Question

MCQ▾The principle of Maximum Likelihood consists of finding an estimator, which ________ the likelihood function.

### Choices

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

a. | Maximizes or Minimizes | |

b. | Maximizes | |

c. | Minimizes | |

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