Applied Statistics (ISS Statistics Paper III): Questions 20 - 25 of 39

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Question number: 20

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

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Explain the formulation of the problem of distribution of income. Further discuss its Mathematical formulation in order to find number of persons with income x or more.

Explanation

Formulation of the problem of distribution of income:

The problem of distribution of income can be formulated as follows

(a) Determation of the form of the frequency distribution ϕ (x), for the total distribution of income from the poorest to the richest members of the society.

(b) Check whether ϕ… (182 more words) …

Question number: 21

» Applied Statistics » Time Series Analysis » Exploratory Time Series Analysis

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Give the various steps for finding the variance of the random component using variate difference method. Is F-test used for testing the significance of homogeneity of two successive estimates of variance? If yes, ok, otherwise which ’test can be used? Discuss.

Explanation

To find the variance of the random component using variate difference method:

let us consider a series represented as the sum of functional part and random component

UT=a0+a1t++a2t2++ak1… (458 more words) …

Question number: 22

» Applied Statistics » Index Numbers » Price Relatives and Quantity or Volume Relatives

Appeared in Year: 2010

Short Answer Question▾

Write in Short

What are the three tests of index numbers? Verify whether the following index number satisfies any of these tests:

I= 12(L+P)

Where L = Lasperaye’s Price Index Number

P = Paasche’s Price Index Number.

Question number: 23

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

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Explaining Pareto’s law of income distribution, show that the elasticity decreases in the number of persons while passing to a higher income class.

Explanation

Pareto’s law of income distribution:

Pareto’s states that ‘the number of income recipients earning at least a given level of income would tend to fall by a fixed percentage as that given level of income rose by a fixed percentage. ’

Pareto’s law implies that inequality is inescapable and nothing… (220 more words) …

Question number: 24

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

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Discuss Engel’s curve. Explain the Engel’s curve for constant price of a demand function d=f(μ,p) where μ is national income and p is price.

Explanation

Engel’s curve: The graphic representation of the basic relationship between household income and its expenditure on a particular item of consumption is known as Engel’s curve. The Engel curves shows the effect of a change in income on the expenditure for each good at fixed prices. If price change, the… (328 more words) …

Question number: 25

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

Appeared in Year: 2012

Essay Question▾

Describe in Detail

What are the different methods for measurement of trend? Discuss the method of fitting a straight line using least squares method.

Explanation

Methods of measurement of trend:

Trend can be measured by the following methods:

(i) Graphic method or trend by Inspection

(ii) Method of Semi-Averages

(iii) Method of Curve fitting by principles of Least Squares

(iv) Method of moving averages

Fitting a straight line using least squares method:

Let Yc… (281 more words) …

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