Marshall–Olkin Alpha Power Lomax Distribution: Estimation Methods, Applications on Physics and Economics

In this paper, we introduce and study a new extension of Lomax distribution with four-parameter named as the Marshall–Olkin alpha power (MOAPL) distribution. Some statistical properties are discussed. Maximum likelihood estimation (MLE), maximum product spacing (MPS) least Square (LS) method for MOAPL parameters A numerical using real data analysis Monte-Carlo simulation performed to compare between different methods estimation. Superiority model over some well-known distributions illustrated by physics economics sets. The can produce better fits than Lomax, distribution, exponential, Kumaraswamy-generalized exponentiated Lomax.