Question
निम्नलिखित द्वि-समीकरण प्रणाली में दोनों समीकरणों की अभिनिर्धारण प्रस्थिति की जाँच कीजिए
Y₁ =x+az Y₂ + B22+22 Y₂ = β₂ + β2Y+B4Z+BsZ2 + z
Answer :
Word Count : 697
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दिए गए द्वि-समीकरणीय प्रणाली की अभिनिर्धारण (identification) स्थिति की जाँच करने के लिए हमें पहले प्रत्येक समीकरण के लिए साम्यक (order) और अंतर (rank) शर्तों की समीक्षा करनी होगी। अभिनिर्धारण का अर्थ है कि क्या किसी विशेष समीकरण के अज्ञात गुणांक (parameters) को संभाव्य मानों और उपलब्ध डेटा से एक अद्वितीय रूप में निर्धारित किया जा सकता है। यदि यह संभव है, तो समीकरण अभिनिर्धारित (identified) माना जाएगा; यदि नहीं, तो यह अधिनिर्धारित (under-identified) या अधिक निर्धारित (over-identified) हो सकता है। सबसे पहले, समीकरणों को स्पष्ट रूप में लिखते हैं: समीकरण 1: Y₁ = α₀ + α₁Y₂ + α₂Z + u₁ समीकरण 2: Y₂ = β₀ + β₁Y₁ + β₂Z + β₃Z₂ + u₂ जहाँ Y₁ ________ _________ __________ __________ _____ _________ ______ ________ ________.
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