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actuarial science,actuary salary,actuarial coaching,actuarial science jobs,what is actuarial science

GET INSPIRED BY OUR SOLUTION

We provide a personalised, simple solution to bring out the best in each student for career growth.

CENTRAL LIMIT THEOREM-THE POWER HOUSE OF STATISTICS & actuarial science

 

Suppose, you need to evaluate the total number of males aged 30 in a city. Suppose 1 crore people are located  in the same city & the task is to calculate the average height . 

How you can do this?

  • The most obvious approach is to simply calculate the average.
  • First, measure the height of all, males aged 30. Add their heights.
  • Divide the total sum of heights with the total number of males aged 30.
  • However reaching to & measuring the height of all  is an uphill task.
  • Is there an alternative to this?

Video

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PREDICTION OF FUTURE CLAIMS USING POISSON DISTRIBUTION

The number of claims an Insurance company will receive in next month from a portfolio is to be estimated.


The number of claims is discrete and hence a discrete random variable is assumed. 


For future occurrence of events we will consider a Poisson distribution.


P(X=x) = (ⅇ^(-λ) λ^x)/x! 


We will only be able to find the 

Probabilities and forecast for

Future if λ is known.

  

So, we need to estimate λ

  

from the sample 

So how to estimate λ??

Point Estimation: Population mean=Sample mean

Details in Video.

  


Video

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