From fc7cc602d35d02f40143eebaa7e8df1208a843bb Mon Sep 17 00:00:00 2001 From: Jakub Adamski Date: Mon, 5 Apr 2021 14:02:34 +0200 Subject: [PATCH] zajecia4 --- zajecia4/README.md | 50 +++++++++++++++++ zajecia4/Wyprowadzenie.pdf | Bin 0 -> 123265 bytes zajecia4/Zajęcia4.pdf | Bin 0 -> 2146045 bytes zajecia4/moje_zad2.png | Bin 0 -> 1814680 bytes zajecia4/zadania.R | 110 +++++++++++++++++++++++++++++++++++++ zajecia4/zajecia4.Rproj | 13 +++++ 6 files changed, 173 insertions(+) create mode 100644 zajecia4/README.md create mode 100644 zajecia4/Wyprowadzenie.pdf create mode 100644 zajecia4/Zajęcia4.pdf create mode 100644 zajecia4/moje_zad2.png create mode 100644 zajecia4/zadania.R create mode 100644 zajecia4/zajecia4.Rproj diff --git a/zajecia4/README.md b/zajecia4/README.md new file mode 100644 index 0000000..22fbb2b --- /dev/null +++ b/zajecia4/README.md @@ -0,0 +1,50 @@ +# Zajęcia 4 +Notatki do zajęć 4. +Z wykładu nie było chyba tylko rozkładu estymatora - ale wydaje mi się ze to jest po prostu rysowanie wartosci jakie nam wyszly z estymatora i okreslanie jaki to jest rozkład. Na wykładie były tylko dodatkwe twierdzenia. + + +## Zadanie 1 +Parametry a i b to parametry w rozkładzie jednostajnym słuzące do obliczania prawdopodobieństwa dla danej wartości. +Dlaczego w RStudio mnoze odchylenie standardowe razy jakis dziwny pierwiastek - [link](https://pl.wikipedia.org/wiki/Odchylenie_standardowe#Odchylenie_standardowe_z_próby) bo nie jest to zwykle odchylenie standardowe tylko odchylenie standardowe z proby!!! To co mam na kartce to teoretyczne dlatego tam mam zwykle odchyenie standardowe z tego co rozumiem. +

+![zad](moje_zad2.png) + + +## Zadanie 2 +Rozkład Poissona. +- wartość estymatora to średnia - wynik z obliczeń z metody momentów, nie robiłem samemu, jest w pliku Wprowadzenie + + +## Zadanie 3 +Jest sposób rozwiązania w PDF - zrobić przed egzaminem. + + +## Zadanie 4 +Rozkład Rayleigha, obliczenia w PDF. + +---- + +## Wykres kwantyl-kwantyl +Porównujemy wartości estymowane z rzeczywistymi. + + +## Metoda największej wiarogodności +Szukamy największej wartości funkcji gęstości lub logarytmu naturalnego z funkcji gęstości. + + +## Metoda momentów +Metoda momentów – w statystyce, metoda estymacji parametrów populacji polegająca na wyznaczaniu równań wiążących momenty populacji z parametrami / momentami próby, które mają być estymowane. + + +## Moment +Moment zwykły rzędu k zmiennej losowej to wartość oczekiwana k-tej potęgi tej zmiennej. + - zmienna losowa to funkcja prawdopodobieństwa + - wartość oczekiwana to prawdopodobieństwo dla x razy wartość x. Dobrym estymatorem wartości oczekiwanej jest średnia. + + + ## Próba + Próba statystyczna – zbiór obserwacji statystycznych wybranych (zwykle wylosowanych) z populacji. + + +## Estymator nieobciązony +Estymator jest nieobciążony, jeśli wartość oczekiwana rozkładu estymatora jest równa wartości szacowanego parametru \ No newline at end of file diff --git a/zajecia4/Wyprowadzenie.pdf b/zajecia4/Wyprowadzenie.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d70407d3fe0b4def36ddf3dd1d8962dc6f9355c1 GIT binary patch literal 123265 zcmd431yCJZw=En31Piut2rj|hgS)$HaNoE?fMD4W+(U3DNN{&|cXx-N!FfBJ@0^qK z-TUr+Rrgl?KUC4Zd(F9~tkDZPF2ADwBdOpYFcCc`!XU;>^gJnp7z+{8bJE~4MBSXkm7NTn zOu&}n${a+0R4uN|NyPbULa>E`gRPOWiIX-1xWx=ACT>m)k~ZKT3jJ{q{^KC|D^qY! zj4cd=Y~8fMu8c%%Tx|5rY($)_%(_J28i7vWG#!cl=$5#Ht+O3C#hJ$-%_H1`*!vYm=^x?VBFNM|y!L1O8>`x}nAv z^p7v3&0y$I(nWRA&Bu^|M^JD87#jfkUg=3>MS04?+J3gDDSWo%W>_kDur%MM9p?m= z&sQL@`Fj8HXOHC4vYczr-QLQKx~1AhOYC|!McRY)eeBny$MfUc{n9kqlhV>-J$-%e 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