# ISS (Statistical Services) Statistics Paper III: Questions 69 - 76 of 96

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## Question number: 69

» Econometrics » Prediction and Simultaneous Confidence Intervals

Appeared in Year: 2012

### Write in Short

Discuss forecasting accuracy and Theil’s U coefficient.

## Question number: 70

» Applied Statistics » Index Numbers » Income Distribution-Pareto and Engel Curves

Appeared in Year: 2012

### Write in Short

Using curves of concentration, discuss the formulation of the problem of distribution of income.

## Question number: 71

» Econometrics » Autoregressive Linear Regression

Appeared in Year: 2012

### Write in Short

Obtain the general solution of first-order auto-regression model.

## Question number: 72

» Applied Statistics » Time Series Analysis » Discrete Parameter Stochastic Process

Appeared in Year: 2013

### Describe in Detail

Discuss the relevance of variate difference method in time series analysis data. Show that

### Explanation

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## Question number: 73

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2013

### Describe in Detail

Explain circular systematic sampling. Show that minimum value of ρ is** , **when **, **where ρis intraclass correlation and** **is the sample mean.

### Explanation

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## Question number: 74

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2012

### Write in Short

Obtain an unbiased estimator of the gain due to PPSWR sampling as compared to SRSWR.

## Question number: 75

» Econometrics » Autoregressive Linear Regression

Appeared in Year: 2013

### Describe in Detail

Obtain the complementary function and particular integral of first order regressive model. Show that** **is a moving average of random elements with weights, ** **

### Explanation

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## Question number: 76

» Sampling Techniques » Simple Random Sampling and Sampling With Probability Proportional to Size

Appeared in Year: 2013

### Describe in Detail

In simple random sampling without replacement (SRSWOR), the sample mean** **is an unbiased estimator of population mean** . **Obtain the variance of the estimator of the population total Y.

### Explanation

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