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Eğitmen, zaman serisi analizinin temel kavramlarını ve uygulamalı yöntemlerini detaylı şekilde anlatmaktadır.","Video, zaman serilerinin tanımı ve temel bileşenleriyle başlayıp, durağanlık kavramını ve durağanlık testlerini (birim kök testleri, ADF, KPSS, Phillips-Perron) açıklamaktadır. Ardından AR, MA, ARMA ve ARIMA süreçleri teorik olarak anlatılarak, BTC ve getiri serileri üzerinde uygulamalı örnekler gösterilmektedir. Video, model seçimi için Akaike ve Schwartz kriterlerinin kullanımı ve farklı ARMA modellerinin test edilmesiyle devam etmektedir.","Eğitim içeriğinde EViews programı kullanılarak pratik uygulamalar gösterilmekte, özellikle \"urca\" paketi ile birden fazla birim kök testinin aynı anda nasıl yapılacağı anlatılmaktadır. Durağan serilerin ARMA modelleriyle, durağan olmayan serilerin ise ARIMA modelleriyle nasıl modellenmesi gerektiği vurgulanmaktadır."]},"endTime":3628,"title":"Zaman Serisi Analizi ve Modelleme Eğitimi","beginTime":0}],"fullResult":[{"index":0,"title":"Zaman Serileri Analizi Giriş","list":{"type":"unordered","items":["Zaman serisi, saatlik, günlük, haftalık ve yıllık gibi belirli zaman periyotlarında gözlenen serilerdir.","Zaman serileri ekonomi ve finans, mühendislik, demografi gibi birçok alanda kullanılmaktadır.","Zaman serisi analizi, özellikle yüksek frekanslı serilerde, bir değişkenin davranışını başka bir değişken yerine kendine ait geçmiş verileri ile açıklamayı amaçlar."]},"beginTime":1,"endTime":140,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1&ask_summarization=1"},{"index":1,"title":"Zaman Serilerinin Bileşenleri","list":{"type":"unordered","items":["Bir zaman serisinin temelde dört bileşeni vardır: trend, mevsimsel hareket, konjonktürel hareket ve düzensiz hareketler.","Trend, serinin gösterdiği genel eğilimdir; mevsimsel hareket, dalgalanma şeklindeki periyodik harekettir; konjonktürel hareket trend'in etrafında dalgalanma şeklindeki davranıştır."]},"beginTime":140,"endTime":188,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=140&ask_summarization=1"},{"index":2,"title":"Durağanlık Kavramı","list":{"type":"unordered","items":["Durağanlık, bir zaman serisinin değerlerinin belli bir değere yakınsaması veya beklenen değeri etrafında dalgalanmasını ifade eden bir kavramdır.","Durağanlık iki kavrama ayrılır: zayıf duran süreç (kovaryans duran süreç) ve güçlü duran süreç.","Zayıf duran süreç, sabit koşulsuz ortalama ve sabit varyansa sahip, gecikme uzunluğu arttıkça azalan teorik kolegrama sahip süreçlerdir.","Güçlü duran süreç, zayıf duran sürecin tüm özelliklerini içerir ve ayrıca ortak dağılımın zamanla değişmediğini ifade eder."]},"beginTime":188,"endTime":373,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=188&ask_summarization=1"},{"index":3,"title":"Durağanlığın Önemi ve Analizi","list":{"type":"unordered","items":["Durağan bir seriyeye gelen şok geçici olurken, durağan olmayan bir seriyeye gelen şok kalıcıdır.","Durağanlık analizinde tercih edilen yöntemler: grafik yöntem, otokorelasyon ve kısmi otokorelasyon katsayıları incelemesi, birim kök testi yapmaktır.","Zaman serisi analizinde, serinin durağan olup olmadığına karar vermek önemlidir."]},"beginTime":373,"endTime":512,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=373&ask_summarization=1"},{"index":4,"title":"Birim Kök Testi","list":{"type":"unordered","items":["Birim kök testi, durağanlığın testinde en çok tercih edilen ve en doğru sonuç veren yöntemdir.","Otorigresif süreçte, bir serinin davranışı kendi geçmiş davranışı ile açıklanır ve hata terimi ortalamalı ve sabit fayanslı bir white noise'dur.","Fi katsayısı, serinin geçmiş dönem değerinin önündeki katsayıdır ve seviyeye gelen şokların yapısını gösterir."]},"beginTime":522,"endTime":588,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=522&ask_summarization=1"},{"index":5,"title":"Birim Kök Testinin Sonuçları","list":{"type":"unordered","items":["Eğer fi katsayısı mutlak değerde 1'e eşit veya büyükse, serinin durağan olmadığı, birim kök içerdiği ve şokların kalıcı etkisi olduğu söylenebilir.","Eğer fi katsayısı 1'den küçükse, serinin durağan olduğu ve birim kök içermediği, şokların etkisinin geçici olduğu belirtilir.","Birim kök testinde temel hipotez (H0) fi=1 (serinin birim kök içerdiği) ve alternatif hipotez (H1) fi\u003c1 (serinin birim kök içermediği) şeklinde kurulur."]},"beginTime":588,"endTime":699,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=588&ask_summarization=1"},{"index":6,"title":"Durağanlık Testleri ve Modifikasyonlar","list":{"type":"unordered","items":["Pratikte fi'nin 1 olması yerine -1 şeklinde bir sayıya eşitlenerek korelasyon şeklinde bir hipoteze dönüştürülür.","Birim kök testi yaparken Augmented Dickey-Fuller, Phillips-Perron, Ng-Perron ve KPSS testi gibi çeşitli testler kullanılır.","Eğer serinin durağan olmadığı tespit edilirse, serinin farklarını alabilir veya deterministik trendi elinimine edebilirsiniz."]},"beginTime":699,"endTime":798,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=699&ask_summarization=1"},{"index":7,"title":"Doğrusal Durağan Stokastik Yaklaşımlar","list":{"type":"unordered","items":["Doğrusal durağan serileri tahmin etmek için çeşitli yollar vardır ve ilk yaklaşım otoregresif süreçtir.","Otoregresif süreçte, bir zaman serisi kendi geçmiş değerleri ile tahminlenir.","Birinci derece otoregresif süreç (AR(1)) sadece bir önceki dönemdeki değerle ve rassal bir kalıntı ile açıklanır."]},"beginTime":798,"endTime":873,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=798&ask_summarization=1"},{"index":8,"title":"Otoregresif Süreç Özellikleri","list":{"type":"unordered","items":["Otoregresif süreçte delta kesme parametresi veya sabit terim olarak düşünülür, fi ise -1 ile +1 arasında değer alan bilinmeyen parametredir.","Korelasyonsuz hata terimi ortalaması ve varyansı sabittir.","Otoregresif modelde, serinin değerinin tahmininde yalnızca bir önceki dönem bilgisi kullanılır."]},"beginTime":873,"endTime":957,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=873&ask_summarization=1"},{"index":9,"title":"Otoregresif Süreçlerin Tanımlama Fonksiyonları","list":{"type":"unordered","items":["Otokollasyon ve kısmi otokollasyon fonksiyonlarının davranışları önemlidır.","Birinci derece otoregresif süreç (AR(1)) için otokollasyon fonksiyonu bir gecikmede kesilir ve üstsel olarak azalır.","Kısmi otokollasyon fonksiyonu ise kaçıncı gecikmede kesilirse o kadar dereceli bir otoregresif süreç olduğu anlaşılır."]},"beginTime":957,"endTime":1007,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=957&ask_summarization=1"},{"index":10,"title":"Hareketli Ortalama Süreci","list":{"type":"unordered","items":["Hareketli ortalama süreci (MA) içinde, serinin mevcut değeri mevcut ve daha önceki dönemlerdeki hata değerlerine bağlıdır.","MA(q) sürecinde, serinin mevcut değeri mevcut ve geçmiş dönemdeki hata terimleri ile açıklanır.","Hata terimleri korelasyonsuz, ortalamaları ve varyansları sabittir."]},"beginTime":1007,"endTime":1075,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1007&ask_summarization=1"},{"index":11,"title":"Süreçlerin Tanımlama Fonksiyonları","list":{"type":"unordered","items":["MA sürecinde referans nokta otokollasyon fonksiyonudur.","Otokollasyon fonksiyonu kaçıncı gecikmede kesilirse, süreç o dereceli bir MA süreci olarak modellenebilir.","Otokollasyon ve kısmi otokollasyon fonksiyonlarındaki bilgi, sürecin nasıl modellenebileceği hakkında fikir verir."]},"beginTime":1075,"endTime":1161,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1075&ask_summarization=1"},{"index":12,"title":"ARMA Süreçleri ve Model Seçimi","list":{"type":"unordered","items":["Regresif süreç ve hareketli ortalama süreci dışında, ikisinin bir arada ifade edildiği auto-regressif hareketli ortalama (ARMA) süreci bulunmaktadır.","ARMA sürecinde, serinin hem kendi geçmiş değerleri hem de hata terimlerinin geçmiş değerleri ile açıklandığı bir model kullanılır.","Model seçimi yapılırken cimrilik prensibi uygulanır ve en az değişkenle en iyi modeli bulmak için model seçim kriterleri kullanılır."]},"beginTime":1165,"endTime":1305,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1165&ask_summarization=1"},{"index":13,"title":"ARIMA Süreci","list":{"type":"unordered","items":["Durağan seriler için ARMA modeli kurulabilir, ancak serinin durağanlaştırmak için mertebeden türev alınması gerekirse ARIMA (oto-regresif bütünselleşmiş hareketli ortalama) süreci kullanılır.","ARIMA sürecinde, durağan olmadığı için fark alınan serinin (fark serisi) ARIMA modeli kullanılır.","ARIMA sürecinde b katsayısı, serinin durağan hale getirilmesi için alınan türevin derecesini gösterir."]},"beginTime":1305,"endTime":1369,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1305&ask_summarization=1"},{"index":14,"title":"Zaman Serisi Analizi Uygulaması","list":{"type":"unordered","items":["Zaman serisi analizi için Bitcoin (BTC) verileri kullanılarak uygulama yapılmaktadır.","Zaman serilerinde özellikle getiri serisini hesaplamak daha mantıklıdır çünkü serinin durağanlaşmasına katkı sağlar.","Getiri serisi, mevcut dönemdeki fiyatın bir önceki dönemdeki fiyatından çıkarılıp bir önceki dönemdeki fiyata bölünmesiyle hesaplanır."]},"beginTime":1369,"endTime":1623,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1369&ask_summarization=1"},{"index":15,"title":"Serilerin Durağanlık Analizi","list":{"type":"unordered","items":["Zaman serisi analizinde verilerin grafiklerinin çizdirilip incelenmesi mutlaka gerekir.","BTC serisinin grafiksel incelenmesi sonucunda artan bir trend izlediği ve durağan olmayan bir yapıda olduğu görülür.","BTC'den elde edilen getiri serisi ise belli bir ortalama etrafında dağıldığı için durağan davranış göstermektedir."]},"beginTime":1623,"endTime":1764,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1623&ask_summarization=1"},{"index":16,"title":"Veri Serilerinin İstatistiksel Özellikleri","list":{"type":"unordered","items":["BTC ve getiri serilerinin istatistiksel özellikleri (ortalama, maksimum-minimum değerler, standart sapma, çarpıklık ve basıklık) incelenmiştir.","BTC serisinin çok yüksek standart sapması vardır ve normalden basık bir dağılım gösterirken, getiri serisi normalden sivri bir davranış sergilemektedir.","Getiri serisi, fark serisi olduğu için gözlem sayısı eksik olmaktadır."]},"beginTime":1778,"endTime":1836,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1778&ask_summarization=1"},{"index":17,"title":"Durağanlık Analizi","list":{"type":"unordered","items":["Zaman serisi analizlerinde durağanlık çok önemlidir çünkü serinin durağan olup olmadığına göre farklı tekniklerle modelleme yapılır.","Grafik yöntemle BTC serisi durağan gözükmeyen, getiri serisi ise durağan gözükmektedir.","Koreogram (otokorelasyon fonksiyonu) değerleri de durağanlık tespitinde kullanılır."]},"beginTime":1836,"endTime":1879,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1836&ask_summarization=1"},{"index":18,"title":"Koreogram Analizi","list":{"type":"unordered","items":["Koreogramda otokorelasyon fonksiyonu büyük değerlerden başlayıp yavaş azalıyorsa ve azalma devam ediyorsa, serinin durağan olmadığını gösterir.","BTC serisinin koreogramında prob değerleri temel hipotezi (durağanlık) reddediyor, bu da serinin durağan olmadığını gösterir.","Getiri serisinin koreogramında prob değerleri temel hipotezi (durağanlık) reddedemiyor, bu da serinin durağan olduğunu gösterir."]},"beginTime":1879,"endTime":2031,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=1879&ask_summarization=1"},{"index":19,"title":"Birim Kök Testi (ADF Testi)","list":{"type":"unordered","items":["Birim kök testi (ADF testi) serinin durağanlığını tespit etmek için kullanılır.","ADF testinde gecikme sayısı, modelde sabit terim ve trend teriminin varlığı gibi parametreler seçilmelidir.","BTC serisi için trend ve sabitli model seçilmiştir."]},"beginTime":2031,"endTime":2212,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2031&ask_summarization=1"},{"index":20,"title":"ADF Testi Sonuçları","list":{"type":"unordered","items":["ADF testinde temel hipotez BTC'nin bir birim köke sahip olması (durağan olmadığı) şeklindedir.","Test istatistiği ve kritik değerler karşılaştırıldığında, temel hipotez reddedilemiyor.","BTC serisinin birim kök içerdiği (durağan olmadığı) sonucuna varılmış, bu nedenle tahminleme yöntemi olarak durağanlaştırma yapılması veya durağan olmayan serilere uygun yöntemler kullanılması gerekmektedir."]},"beginTime":2212,"endTime":2333,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2212&ask_summarization=1"},{"index":21,"title":"Serilerin Durağanlaşması","list":{"type":"unordered","items":["Bir seri kaçıncı dereceden farkını alındığında durağanlaşabiliyorsa, o seri o dereceden durandır denir.","Bir seri bir farkında trend-intercept modeliyle durağan ise, bu seri bir farkta duran bir seri olarak tanımlanır.","Durağan seriler için ARIMA modelleri kullanılabilir, ancak bir farkta duran seriler için ARIMA modelleri tercih edilmelidir."]},"beginTime":2339,"endTime":2404,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2339&ask_summarization=1"},{"index":22,"title":"Getiri Serisinin Durağanlığı","list":{"type":"unordered","items":["Getiri serisi hem grafikte hem korelasyon grafiğinde durağan olarak görünmektedir.","Birim kök testi (ADF) sonuçları, getiri serisinin durağan olduğunu (%1, %5 ve %10 anlamlılık düzeyinde temel hipotezin reddedildiği) göstermektedir.","Finans serilerinde genellikle getiri serileri kullanılır çünkü durağan olduğu için durağan tekniklerle modellemeye devam edilebilir."]},"beginTime":2404,"endTime":2524,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2404&ask_summarization=1"},{"index":23,"title":"Farklı Birim Kök Testleri","list":{"type":"unordered","items":["ADF testi dışında Philips-Perron testi de kullanılabilir ve benzer sonuçlar elde edilebilir.","KPSS testinde temel hipotez \"seri durağandır\" şeklinde kurulur, bu testte temel hipotez reddedilemezse seri durağan olarak kabul edilir.","Getiri serisi için Philips-Perron ve ADF testleri de durağan olduğunu, BTC serisi için ise durağan olmadığını göstermektedir."]},"beginTime":2524,"endTime":2598,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2524&ask_summarization=1"},{"index":24,"title":"Pratik Birim Kök Testi Yöntemi","list":{"type":"unordered","items":["Zaman serisi analizinde her birim kök testinin zayıflıkları ve güçlükleri vardır, veri setine göre en uygun test seçilmelidir.","EViews'in \"urca\" paketi kullanılarak tüm birim kök testleri tek seferde çalıştırılabilir.","\"urca\" paketi yüklenip \"all unit root test\" komutu ile getiri ve BTC serileri için ADF ve Philips-Perron testleri aynı anda çalıştırılabilir."]},"beginTime":2598,"endTime":2955,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2598&ask_summarization=1"},{"index":25,"title":"Sonuç ve Gelecek Adımlar","list":{"type":"unordered","items":["BTC serisi durağan çıkmadı, ancak bir farkında durağanlaştı.","Getiri serisi durağan olduğu için bu seriyi modellemeye çalışılabilir.","Getiri serisi için ARIMA, hareketli ortalama (MA) ve ARMA modelleri denenilebilir."]},"beginTime":2955,"endTime":2987,"href":"/video/preview/7521043983502734013?parent-reqid=1769980347898238-245022397863077198-balancer-l7leveler-kubr-yp-klg-140-BAL&text=Emma+Tech+256&t=2955&ask_summarization=1"},{"index":26,"title":"ARMA Modelleme ve Tahminleme","list":{"type":"unordered","items":["Getiri serisi için durağan olduğu için ARMA modelleri ile tahminleme yapılacaktır.","Getiri serisine bir önceki dönemin değerleriyle (R1 modeli) tahminleme 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