# Statistical Inference and Hypothesis Testing-Sufficient Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 4 of 8

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## Question number: 1

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

Let be a random sample from a density function . A statistics

is said to be sufficient statistics if the conditional distribution of given T

### Choices

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

a. | Independent of S | |

b. | Dependent of | |

c. | Dependent of | |

d. | Independent of |

## Question number: 2

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is ………. of for any value of

### Choices

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

a. | Dependent | |

b. | Either dependent or Independent | |

c. | Independent | |

d. | All of the above |

## Question number: 3

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

A statistic is called as ________ Estimator for the parameter θ, if the conditional distribution of given T does not depend on θ.

### Choices

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

a. | Unbiased | |

b. | Maximum Likelihood estimator | |

c. | Efficient | |

d. | Sufficient |

## Question number: 4

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

Let be a random sample from a uniform population on . Then the sufficient estimator for is

### Choices

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

a. |
| |

b. | Either (i) or (ii) | |

c. |
| |

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