This article discusses the derivation of different statistical measures associated to four parameter extension of Power distribution. The extension of Power distribution has been introduced by using the concept of transmutation and weighted distribution. This extension is named as weighted transmuted Power distribution and abbreviated as WTPD. Various properties of the WTPD have been studied in detail. Random numbers from the introduced extension are generated by using the Inverse sampling method. Parameters are estimated by using the maximum likelihood estimation (MLE) method. Comparison is made between special cases of WTPD in terms of fitting to different types of data sets. AIC (Akaike Information Criterion) and Kolmogorov-Smirnov test (one sample, two sided) is used as a tool for making the comparison. The motive behind the construction of WTPD and its.fitting to some considered data sets, is to show its importance and support its validity in describing a random phenomena.En este paper se discute la derivation de differentes medidas estadisticaa associatdas a la e etesion de Potencia de cuatro parametros. Las extensiones ahs sido inroducdas usnado el concepto de distribcion con transmutation poderacon weighted distribution. Esta extension es llamda distribion de potentica transmutada, abrevadmante WTPD. Varias propiedade de la WTPD han sido estudiedas en detalle. Numeros aleatorios de la introducida extension son generados usando el metodode muestreo Inverso. Son estimdors Pparameters ausando el metoo d ela estimcion Maximo Verosimil (MLE) Se hacen Comparaciones entre casos espciles de WTPD en terminos del ajsute de differentes conjuntos de tipos de data . AIC (Akaike Information Criterion) y el tst de Kolmogorov-Smirnov (de una muestra y dos colas ) ison usada como hermeitas para hacer las comparisones. La motivacion para la construction ode WTPD y su ajste de algunso conjutos d eatos considerados, es stblcer su importancia y sorpotar su vlaidez para desciribir fenomnso aleaorios.