# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 72 - 78 of 253

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## Question 72

### Question

MCQ▾MLE՚s are ________ consistent estimators.

### Choices

Choice (4) | Response | |
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a. | Not | |

b. | May be | |

c. | Always | |

d. | All of the above |

## Question 73

### Question

MCQ▾Consider a population having the density function . Maximum Likelihood Estimators MLE of the parameter is given by

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. | x |

## Question 74

### Question

MCQ▾Let be a sample of independent observations from the uniform distribution on (θ, θ + 1) , where the value of the parameter is unknown Then the maximum Likelihood Estimator of θ is

### Choices

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

a. | Unique | |

b. | ||

c. | Not unique | |

d. | None of the above |

## Question 75

### Question

MCQ▾In a random sampling from Normal population the Maximum Likelihood estimator for, is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 76

### Question

MCQ▾Maximum Likelihood Estimators (MLE) of the parameter λ of a Poisson distribution is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 77

### Question

MCQ▾A sample of size n is drawn from each of the four a normal populations which have the same variance . the means of the four populations are , , and . The MLE of is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 78

### Question

MCQ▾An unbiased estimator of is the Minimum Variance Unbiased Estimator (MVUE) estimator if ________. Where is any other unbiased estimator of .

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |