MLE and Sufficient Statistics in the Laplace Distribution | UPSC ISS 2024 Paper-2 | Problem-30

Описание: In this video, we explore the *Double Exponential (Laplace) Distribution* in detail — focusing on the *likelihood function, minimal sufficient statistic, and the maximum likelihood estimator (MLE)* for the location parameter θ. We discuss why:
The unordered sample is the **minimal sufficient statistic**,
The *sample median* serves as the *MLE* and is *consistent* but **not unbiased**,
The *sample mean* and *sample maximum* are *not* MLEs for θ.

This lecture is perfect for students preparing for **UPSC Statistics Optional**, **Indian Statistical Service (ISS)**, and anyone studying **statistical inference**.

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