Enumerar elementos personalizados

Question

Quiero escribir lo siguiente en mi látex. Por favor, ayúdame.

\documentclass[12pt,oneside,a4paper]{report}
\pagestyle{plain}
\usepackage{enumerate}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{setspace}
\usepackage{bm}
\usepackage{mathdesign}
\usepackage{amsthm}
\usepackage{amssymb}
\usepackage{glossaries}
\usepackage{enumitem}
\makeglossaries
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{defn}{Definition}[section]
\newtheorem{remk}{Remark}[section]
\newtheorem{assump}{Assumptions}[section]
\numberwithin{equation}{section}
\setlength{\topmargin}{-.7in}
\setlength{\textheight}{9.5in}
\setlength{\oddsidemargin}{-.3in}
\setlength{\textwidth}{7in}
\renewcommand{\qedsymbol}{$\blacksquare$}
\begin{document}\begin{theorem}
If the $(k\times 1)$ vector $\bm{x}$ is distributed normally with mean vector $\bm{\mu}$ and variance-covariance matrix $\bm{I}_k$, then
\begin{enumerate}[(i).]
\item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}]=\bm{\mu}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})]$,
\item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}\bm{x}']=\bm{I}_{k}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})]+\bm{\mu}\bm{\mu}'\mathbb{E}[\phi(\chi^{2}_{(k+4,\Delta)})]$
\end{enumerate}
where $\Delta=\frac{1}{2}\bm{\mu}'\bm{\mu}$ is the noncentrality parameter.
\end{theorem}
 \begin{assump}[Regularity Conditions]
\begin{enumerate}[start=0,label={(\bfseries R\arabic*):}]
\begin{enumerate}
\item The pdfs are distinct.
\item The pdfs have common support for all $\theta$.
\end{enumerate}
\end{assump}
\end{document}

Answer 1

Sin más información, esto es un comienzo... (No he realizado el entorno del teorema en torno a la enumeración)

ElenumitemEl paquete es la clave para una fácil personalización de listas detalladas/enumeradas. Proporciona los medios para utilizar un valor inicial ( start=0) y la label=....opción.

enumitemSe pueden utilizar juntos ocomo enumerateusando la shortlabelsopción.

\documentclass{article}
\usepackage{enumerate}
\usepackage[shortlabels]{enumitem}

\begin{document}

% Traditional style
\begin{enumerate}[a)] 
\item This is
\item an easy
\item customization of standard enumerate
\end{enumerate}


\begin{enumerate}[start=0,label={(\bfseries R\arabic*):}]
\item This is
\item an easy
\item customization of enumerate
\end{enumerate}
\end{document} 

Answer 2

Como persisten algunos problemas con la colocación de las etiquetas, propongo una variante que se parece más a la imagen de la publicación del OP. Lo reemplacé amsthmcon ntheorem, que tiene un breakestilo de teorema y escribe el argumento opcional de los teoremas en negrita si \theoremname está en negrita.

La carga mathdesignno hizo nada, ya que no se eligió ninguna fuente como opción. Yo añadí charter.

\documentclass[12pt,oneside,a4paper]{report}
\pagestyle{plain}
\usepackage{mathtools}
\usepackage{graphicx}
\usepackage{setspace}
\usepackage{bm}
\usepackage[charter]{mathdesign}
\usepackage[shortlabels]{enumitem}

%\usepackage{amssymb}
%\usepackage{amsthm}
%\newtheorem{theorem}{Theorem}[section]
%\newtheorem{corollary}{Corollary}[section]
%\newtheorem{lemma}{Lemma}[section]
%\newtheorem{defn}{Definition}[section]
%\newtheorem{remk}{Remark}[section]
%\newtheorem{assump}{Assumptions}[section]
%\renewcommand{\qedsymbol}{$\blacksquare$}

  \usepackage[thmmarks, amsmath, thref]{ntheorem}

 \theoremstyle{plain}
 \theoremheaderfont{\upshape\bfseries}
 \theorembodyfont{\itshape}
 \theoremseparator{.}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{defn}{Definition}[section]
\newtheorem{remk}{Remark}[section]

\theoremstyle{break}
 \theoremseparator{.\medskip}
\newtheorem{assump}{Assumptions}[section]

 \theoremstyle{nonumberplain}
 \theoremheaderfont{\itshape}
 \theorembodyfont{\upshape}
 \theoremsymbol{\ensuremath{\blacksquare}}
 \newtheorem{proof}{Proof}

\numberwithin{equation}{section}
\setlength{\topmargin}{-.7in}
\setlength{\textheight}{9.5in}
\setlength{\oddsidemargin}{-.3in}
\setlength{\textwidth}{7in}

\begin{document}
\setcounter{chapter}{6}\setcounter{section}{1}
\begin{theorem}
  If the $(k \times 1)$ vector $\bm{x}$ is distributed normally with mean vector $\bm{\mu}$ and variance-covariance matrix $\bm{I}_k$, then
  \begin{enumerate}[(i).]
    \item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}]=\bm{\mu}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})],$

    \item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}\bm{x}'] = \bm{I}_{k}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})] + \bm{\mu}\bm{\mu}'\mathbb{E}[\phi(\chi^{2}_{(k+4,\Delta)})],$
  \end{enumerate}
  where $\Delta=\frac{1}{2}\bm{\mu}'\bm{\mu}$ is the noncentrality parameter.
\end{theorem}

\begin{assump}[Regularity Conditions]
  \begin{enumerate}[start=0,label={\upshape(\bfseries R\arabic*):},wide = 0pt, leftmargin = 3em]
    \item The pdfs are distinct; i.e., $ \theta \neq \theta' \Rightarrow f(x_i; \theta) \neq f(x_i; \theta')$. Text text text text text text text text text text text text text text text text text.
    \item The pdfs have common support for all $\theta$.
    \item The point $ \theta_0$ is an interior point of $ \Omega $.
  \end{enumerate}
\end{assump}
\end{document}