Table 15 MLEs, SE in () for LD.

From: A new family of alpha power-G using cosine function with applications and regression modeling

 

MLEs and SE in ()

LCAP-W

\(\nu _{0}\) =2.8068

(1.4421)

\(\nu _{1}\) = 1.1434

(0.5029)

\(\nu _{2}\) =-0.0138

(0.0073)

\(\sigma\) = 1.7008

(0.5643)

\(\alpha\) = 0.6716

(1.6283)

-

LCTLWe

\(\nu _{0}\) =3.4486

(0.8788)

\(\nu _{1}\) = 1.4595

(0.5045)

\(\nu _{2}\) =-0.0067

(0.0070)

\(\sigma\) = 1.0222

(0.7490)

\(\alpha\) = 0.3926

(0.3986)

-

LTTLWe

\(\nu _{0}\) =3.3038

(0.9745)

\(\nu _{1}\) = 1.4105

(0.4750)

\(\nu _{2}\) =-0.0061

(0.0055)

\(\sigma\) =0.8693

(0.6692)

\(\alpha\) = 0.5769

(0.6541)

-

LSAPWe

\(\nu _{0}\) =3.2682

( 1.3252)

\(\nu _{1}\) =1.5035

(0.4455)

\(\nu _{2}\) =-0.0050

(0.0059)

\(\sigma\) =1.3520

(0.5928)

\(\alpha\) =2.2535

(6.9282)

 

LMOOLLWe

\(\nu _{0}\) =5.4702

(10.1283)

\(\nu _{1}\) = 1.4642

(0.4988)

\(\nu _{2}\) = -0.0193

( 0.0099)

\(\sigma\) =12.8771

(26.0700)

a = 10.9912

(23.8519)

b=10.4342

(42.9320)