ISS Statistics Paper III: Questions 54 - 59 of 90

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 90 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 54

» Econometrics » Autoregressive Linear Regression

Appeared in Year: 2011

Essay Question▾

Describe in Detail

For the auto-regressive scheme Ut+2+aUt+1+bUt=et+2 , show that if e is a random variable and the series is long, then

Var(U)Var(e)=(1+b)(1b)[(1+b)2a2]

and hence show that, variance of the generated series may be much greater than that of e itself.

Explanation

Given auto-regressive scheme Ut+2+aUt+1+bUt=et+2 is a second order Auto-regressive series.

Ut+2+aUt+1+bUt=et+2 ……………. . (i)… (695 more words) …

Question number: 55

» 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: 56

» Econometrics » Ordinary Least Squares (OLS)

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Discuss the practical consequences of autocorrelation. Show that

V(Ut)=σ21σ2

Explanation

Practical consequences of autocorrelation:

  1. OLS estimators are still unbiased and consistent. E(β^1)=β1

  2. The variance of the estimators are underestimated. In the presence of autocorrelation Var(β^1)σu2xi2, but… (539 more words) …

Question number: 57

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2012

Short Answer Question▾

Write in Short

Show that mean of a systematic sample is more precise than the mean of a simple random sample of size n under a certain condition to be obtained by you.

Question number: 58

» 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: 59

» 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) …

Sign In