add initial files

Author: natashawatkins

Makefile

@@ -0,0 +1,55 @@
+# Minimal makefile for Sphinx documentation
+#
+
+# You can set these variables from the command line.
+SPHINXOPTS    =
+SPHINXBUILD   = sphinx-build
+SPHINXPROJ    = QuantEconlectures
+SOURCEDIR     = .
+BUILDDIR      = _build
+
+#Check for make.lock file. If not equal then set BUILD = True
+ifeq ("$(wildcard ./make.lock)","") 
+BUILD=TRUE
+else
+BUILD=FALSE
+endif
+
+# Put it first so that "make" without argument is like "make help".
+help:
+	@$(SPHINXBUILD) -M help "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O)
+
+.PHONY: help Makefile
+
+check_environment:
+ifeq ($(BUILD),FALSE) 
+	@echo "[ERROR] You cannot run make in the source directory"; exit 1 
+else
+	@true
+endif
+
+setup: check_environment install_dependancies
+	python build.py
+
+install_dependancies: check_environment
+	pip install --upgrade sphinxcontrib-tikz        
+	pip install --upgrade sphinxcontrib-bibtex 		
+
+web: check_environment
+	make html
+
+# force jupyter to build using jupyter_conversion_mode="all"
+jupyter-all: check_environment
+	sphinx-build -D jupyter_conversion_mode="all" -b jupyter "$(SOURCEDIR)" "$(BUILDDIR)/jupyter"
+
+xelatexpdf: latex
+	@echo "Running LaTeX files through xelatex to construct PDF with Unicode..."
+	$(MAKE) PDFLATEX=xelatex -C $(BUILDDIR)/latex all-pdf
+	$(MAKE) PDFLATEX=xelatex -C $(BUILDDIR)/latex all-pdf
+	@echo "xelatex finished; the PDF files are in $(BUILDDIR)/latex."
+
+
+# Catch-all target: route all unknown targets to Sphinx using the new
+# "make mode" option.  $(O) is meant as a shortcut for $(SPHINXOPTS).
+%: Makefile check_environment
+	@$(SPHINXBUILD) -M $@ "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O)

_static/banner.png

@@ -0,0 +1,47 @@
+
+import matplotlib.pyplot as plt
+import numpy as np
+from scipy.stats import norm
+from matplotlib import cm
+
+xmin, xmax = -4, 12
+x = 10
+α = 0.5
+
+m, v = x, 10
+
+xgrid = np.linspace(xmin, xmax, 200)
+
+fig, ax = plt.subplots()
+
+ax.spines['right'].set_color('none')
+ax.spines['top'].set_color('none')
+ax.spines['left'].set_color('none')
+ax.xaxis.set_ticks_position('bottom')
+ax.spines['bottom'].set_position(('data', 0))
+
+ax.set_ylim(-0.05, 0.5)
+ax.set_xticks((x,))
+ax.set_xticklabels((r'$x$', ), fontsize=18)
+ax.set_yticks(())
+
+K = 3
+for i in range(K):
+    m = α * m
+    v = α * α * v + 1
+    f = norm(loc=m, scale=np.sqrt(v))
+    k = (i + 0.5) / K
+    ax.plot(xgrid, f.pdf(xgrid), lw=1, color='black', alpha=0.4)
+    ax.fill_between(xgrid, 0 * xgrid, f.pdf(xgrid), color=cm.jet(k), alpha=0.4)
+
+
+ax.annotate(r'$Q(x,\cdot)$', xy=(6.6, 0.2),  xycoords='data',
+            xytext=(20, 90), textcoords='offset points', fontsize=16,
+            arrowprops=dict(arrowstyle="->", connectionstyle="arc3,rad=-0.2"))
+ax.annotate(r'$Q^2(x,\cdot)$', xy=(3.6, 0.24),  xycoords='data',
+            xytext=(20, 90), textcoords='offset points', fontsize=16,
+            arrowprops=dict(arrowstyle="->", connectionstyle="arc3,rad=-0.2"))
+ax.annotate(r'$Q^3(x,\cdot)$', xy=(-0.2, 0.28),  xycoords='data',
+            xytext=(-90, 90), textcoords='offset points', fontsize=16,
+            arrowprops=dict(arrowstyle="->", connectionstyle="arc3,rad=0.2"))
+fig.show()