Question:
Let the probability density function of the continuous random variable π be
, 0, π₯ β₯ 0 otherwise ,
where π > 0 is a parameter. If the observed sample values of π are
π₯1 = 1.75, π₯2 = 2.25, π₯3 = 2.50, π₯4 = 2.75, π₯5 = 3.25, then the Maximum Likelihood Estimator of π is
Let the probability density function of the continuous random variable π be
, 0, π₯ β₯ 0 otherwise ,
where π > 0 is a parameter. If the observed sample values of π are
π₯1 = 1.75, π₯2 = 2.25, π₯3 = 2.50, π₯4 = 2.75, π₯5 = 3.25, then the Maximum Likelihood Estimator of π is
, 0, π₯ β₯ 0 otherwise , where π > 0 is a parameter. If the observed sample values of π are
π₯1 = 1.75, π₯2 = 2.25, π₯3 = 2.50, π₯4 = 2.75, π₯5 = 3.25, then the Maximum Likelihood Estimator of π is
Updated On: Oct 1, 2024
- \(\frac{5}{2}\)
- \(\frac{1}{5}\)
- \(\frac{1}{5}\)
- \(\frac{2}{5}\)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D): \(\frac{2}{5}\)
Was this answer helpful?
0
0
Top Questions on Mathematical statistics
- Consider an Economy that produces only Apples and Bananas. The following Table contains per unit price (in INR) and quantity (in kg) of these goods. Assuming 2010 as the Base Year and using GDP deflator to calculate the annual inflation rate, which of the following options is CORRECT?
Year Price of Apple Quantity of Apple Price of Banana Quantity of Banana 2010 1 100 2 50 2011 1 200 2 100 2012 2 200 4 100 - IIT JAM EN - 2023
- Statistics for Economics
- Mathematical statistics
Questions Asked in IIT JAM EN exam
- Consider a Keynesian Cross Model with following features,
Consumption Function: C = C0 + b(Y-T)
Tax Function: T = T0 + tY
Income Identity: Y = C + I0 + G0
Where, C = Consumption; Y = Real Income; T = Tax; I = Investment;
G = Government Expenditure; b = Parameter; t = Tax Rate
(The subscript 0 (zero) indicates that the concerned variable is autonomous)
If b = 0.7 and t = 0.2, value of the Keynesian multiplier is ________ (round off to 2 decimal places).- IIT JAM EN - 2024
- Business cycles and economic models
- Using the following table,
Year Population of the Economy GDP of the Economy (in crore) 2010 20,000 25,000 2020 25,000 40,000
the average growth rate (compounded annually) of per capita GDP in an economy during the period 2010-2020 is ________ (in percent, round off to 2 decimal places).- IIT JAM EN - 2024
- Growth models
- GDPF = Gross Domestic Product at Factor Cost; GDPM = Gross Domestic Product at Market Price; NNPF= Net National Product at Factor Cost; C = Consumption; I = Investment; G = Government Expenditure; X = Export; M = Import; T = Tax; S = Saving; D = Depreciation; NIA = Net Income from Abroad
Which of the following expressions is/are CORRECT?- IIT JAM EN - 2024
- National Income Accounting
- Let a random variable X has mean $\mu_x$ and non-zero variance $ \sigma ^2 _x$, and another X random variable Y has mean $\mu_y$ and non zero variance $\sigma ^2 _y$. If the correlation Y coefficient between X and Y is $\rho$, then which of the following is/are CORRECT?
- IIT JAM EN - 2024
- Probability
- Consider two independent random variables: $X βΌ N(5, 4)$ and $Y~N(3, 2)$. If $(2X + 3Y)~N(\mu, \sigma ^2)$, then the values of mean ($\mu$) and variance ($\sigma ^2$) are
- IIT JAM EN - 2024
- Probability
View More Questions