# Applied Statistics (ISS (Statistical Services) Statistics Paper III): Questions 6 - 12 of 45

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## Question number: 6

» Applied Statistics » Index Numbers » Link and Chain Relatives Composition of Index Numbers

Appeared in Year: 2009

### Write in Short

Explain the time reversal and factor-reversal tests for an ideal index number. Give an example

of index number which satisfies both of these tests.

## Question number: 7

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

Appeared in Year: 2009

### Describe in Detail

State the probability density function of the Pareto distribution and give its cumulative form.

Interpret the constants involved.

### Explanation

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## Question number: 8

» Applied Statistics » Time Series Analysis » Determination of Trend, Seasonal and Cyclical Fluctuations

Appeared in Year: 2009

### Describe in Detail

Explain ratio to moving average method for calculating seasonal indices.

### Explanation

… (232 more words) …

## Question number: 9

» Applied Statistics » Index Numbers » Fisher Index Numbers: Chain Base Index Number & Tests for Index Number

Appeared in Year: 2009

### Describe in Detail

Define Marshall- Edgeworth index number and examine whether it satisfies Fisher’s tests for index numbers. Also show that this index number will lie between the Laspeyres’ and Paasche’s index numbers.

### Explanation

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## Question number: 10

» Applied Statistics » Computations Based on Fourier Transform

Appeared in Year: 2009

### Write in Short

Describe, briefly, the Engel’s law and Engel’s curve. What are the different forms of Engel’s

Curve usually employed for fitting to the family budget data?

## Question number: 11

» Applied Statistics » Spectral Analysis of Weakly Stationary Process

Appeared in Year: 2009

### Describe in Detail

Distinguish between fixed base and chain base methods for the construction of index numbers.

Discuss their relative merits.

### Explanation

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## Question number: 12

» Applied Statistics » Time Series Analysis » Economic Time Series & Components

Appeared in Year: 2009

### Write in Short

Describe the Yule -Slutsky effect of moving average operation on the random component of a time series.