Applied Statistics-Time Series Analysis (ISS Statistics Paper III): Questions 8 - 11 of 11

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Question number: 8

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

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Discuss the relevance of variate difference method in time series analysis data. Show that Var(ΔkUt)=E[Δkϵt]2

Explanation

Relevance of variate difference method:

Although many different formulas are used to measure the random component in a time series, , the variate difference method fits the best, because this method method enables us to estimate the variance of the random component in a series. The variate difference method does… (379 more words) …

Question number: 9

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

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Discuss link relative method to estimate seasonal fluctuations, with appropriate illustrations.

Explanation

link relative is the value of one season expressed as a percentage of the preceding season. The word ‘season’ refers to time period, it means month for monthly data, quarter for quarterly data etc.

Under this method, the seasonal indices are found with the following steps.

Steps:

(i) Find the… (506 more words) …

Question number: 10

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

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Discuss various steps of finding adjusted monthly indices of seasonal variations using link relative method.

Explanation

Steps of finding adjusted monthly indices of seasonal variations using link relative method:

(i) Find the link relative of all the seasonal data using the formulae LR1=m1m0X100

Where LR1= link relative of the current season

m1=… (472 more words) …

Question number: 11

» Applied Statistics » Time Series Analysis » Illustration, Additive and Multiplicative Models

Appeared in Year: 2014

Essay Question▾

Describe in Detail

What are the two mathematical models employed for time series analysis? Can one model be considered as a particular type of the other one? Which one of the two models is considered to be more useful and why? Discuss each of the above aspects.

Explanation

The two mathematical models employed for time series analysis:

(i) Additive model

(ii) Multiplicative Model

Additive model:

According to the additive model the time series can be expressed as

Ut=Tt+St+Ct+Rt

where

Ut is the time series… (432 more words) …

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