<p>Studying the HALPHEN DISTRIBUTION FAMILY was suggested by Professor Jacques Bernier, a visiting scientist&nbsp;at the Chair in Statistical Hydrology. In this book the authors put together theoretical works from the advances that have been made in the last twenty years, such as:</p>

<p>&nbsp;&nbsp; &nbsp;- &nbsp;&nbsp; &nbsp;Statistical analysis, which has become an important tool in water resources management and planning, and;<br />
&nbsp;&nbsp; &nbsp;-&nbsp;&nbsp; &nbsp;Hydrological frequency analysis, which is a particularly useful method to estimate the probability of occurrence of a given event by fitting a statistical distribution to a sample of independent and identically distributed data.</p>

<p>&nbsp;&nbsp; &nbsp;The desirable statistical properties of these three distributions (complete system and optimal properties of the estimators) motivated the researchers to thoroughly study this system. Chapters 2 to 4 comprehensively discuss each of the three Halphen distributions:</p>

<p>&nbsp;&nbsp; &nbsp;- Mathematical and statistical properties;<br />
&nbsp;&nbsp; &nbsp;- Asymptotic behavior and model selection;<br />
&nbsp;&nbsp; &nbsp;- Parameter estimation methods.</p>

<p>&nbsp;&nbsp; &nbsp;Chapter 5 is concerned with the simulation and generation of samples from Halphen distributions. Matlab codes for Halphen fitting and generating are included in Chapter 6.<br />
&nbsp;&nbsp; &nbsp;This book will be a useful resource to scientists, engineers, and specialists involved statistical&nbsp; in hydrology and water resources management and planning.</p>