Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Statistics & Exploratory Data Analysis Methods of Estimation
A random sample of size 7 is drawn from a distribution with p. d. f.
\(f_θ(x)=\left\{\begin{array}{cc} \frac{1+x^2}{3 θ\left(1+θ^2\right)}, & -2 θ \leq x \leq θ, θ>0 \\ 0, & \text { otherwise } \end{array}\right.\)
and the observations are 12, -54, 26, -2, 24, 17, -39. What is the maximum likelihood estimate of θ ?
1
12
2
24
3
26
4
27
5
Question Not Attempted