# Statistical Inference and Hypothesis Testing-Factorization Theorem (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 3 - 5 of 5

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## Question number: 3

» Statistical Inference and Hypothesis Testing » Factorization Theorem

### Question

Factorization theorem for sufficiency is known as

### Choices

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

a. | Rao-Blackwell Theorem | |

b. | Fisher-Neyman Theorem | |

c. | Bernoulli Theorem | |

d. | Cramer-Rao Theorem |

## Question number: 4

» Statistical Inference and Hypothesis Testing » Factorization Theorem

### Question

If is a random sample from a density function for where are independent of , then any statistics will be called as sufficient statistics if the joint probability density function can be expressed as

### Choices

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

a. |
| |

b. |
| |

c. |
| |

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

## Question number: 5

» Statistical Inference and Hypothesis Testing » Factorization Theorem

### Question

If is a statistics for a parameter of the density function and for i = 1, 2, …, n can be factorized as , Then is a ________

### Choices

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

a. | Efficient Estimator | |

b. | Consistent Estimator | |

c. | Unbiased Estimator | |

d. | Sufficient Estimator |