Preheat oven to 180 °C (or 350 degrees F). Grease a loaf pan.
Mash the bananas in a bowl. Add the pistachios.
In a second bowl, cream butter and sugar until they are fluffy. Add the eggs, and beat well. Mix in the yogurt and vanilla extract.
Stir in flour, baking powder, baking soda, and salt. Add the banana and pistachio mix.
Pour the dough into the greased loaf pan and bake for about 60 minutes. You can test it by inserting a toothpick in the center. If it comes out clean, the bread is done.
Afterwards remove the bread from the oven and let it cool for about 10 minutes before you remove it from the pan.